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Finding the Fourth Proportional to 530.76, 732.39 and 309.69

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Solution

The fourth proportional to 530.76, 732.39 and 309.69 is: 427.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.76 : 732.39 = 309.69 : x
  2. Step 2: Convert to fraction form
    530.76/732.39 = 309.69/x
  3. Step 3: Cross multiply
    530.76x = 732.39 × 309.69
  4. Step 4: Simplify right side
    530.76x = 226,813.86
  5. Step 5: Solve for x
    x = 226,813.86/530.76
  6. Step 6: Final answer
    x = 427.34

Related Problems

Find fourth proportional to 265.38, 366.20 and 154.85
Half scale
Find fourth proportional to 1,061.52, 1,464.78 and 619.38
Double scale
Find fourth proportional to 531.76, 733.77 and 310.69
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.