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Finding the Fourth Proportional to 502.28, 692.66 and 429.32

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Solution

The fourth proportional to 502.28, 692.66 and 429.32 is: 592.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.28 : 692.66 = 429.32 : x
  2. Step 2: Convert to fraction form
    502.28/692.66 = 429.32/x
  3. Step 3: Cross multiply
    502.28x = 692.66 × 429.32
  4. Step 4: Simplify right side
    502.28x = 297,372.79
  5. Step 5: Solve for x
    x = 297,372.79/502.28
  6. Step 6: Final answer
    x = 592.05

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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.