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Finding the Fourth Proportional to 530.82, 732.41 and 460.76

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Solution

The fourth proportional to 530.82, 732.41 and 460.76 is: 635.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.82 : 732.41 = 460.76 : x
  2. Step 2: Convert to fraction form
    530.82/732.41 = 460.76/x
  3. Step 3: Cross multiply
    530.82x = 732.41 × 460.76
  4. Step 4: Simplify right side
    530.82x = 337,460.99
  5. Step 5: Solve for x
    x = 337,460.99/530.82
  6. Step 6: Final answer
    x = 635.74

Related Problems

Find fourth proportional to 265.41, 366.20 and 230.38
Half scale
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Double scale
Find fourth proportional to 531.82, 733.79 and 461.76
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.