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Finding the Fourth Proportional to 502.16, 692.56 and 414.72

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Solution

The fourth proportional to 502.16, 692.56 and 414.72 is: 571.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.16 : 692.56 = 414.72 : x
  2. Step 2: Convert to fraction form
    502.16/692.56 = 414.72/x
  3. Step 3: Cross multiply
    502.16x = 692.56 × 414.72
  4. Step 4: Simplify right side
    502.16x = 287,218.48
  5. Step 5: Solve for x
    x = 287,218.48/502.16
  6. Step 6: Final answer
    x = 571.97

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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.