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Finding the Fourth Proportional to 501.86, 692.24 and 324.76

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Solution

The fourth proportional to 501.86, 692.24 and 324.76 is: 447.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.86 : 692.24 = 324.76 : x
  2. Step 2: Convert to fraction form
    501.86/692.24 = 324.76/x
  3. Step 3: Cross multiply
    501.86x = 692.24 × 324.76
  4. Step 4: Simplify right side
    501.86x = 224,811.86
  5. Step 5: Solve for x
    x = 224,811.86/501.86
  6. Step 6: Final answer
    x = 447.96

Related Problems

Find fourth proportional to 250.93, 346.12 and 162.38
Half scale
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Double scale
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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.