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Finding the Fourth Proportional to 502.18, 692.54 and 315.61

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Solution

The fourth proportional to 502.18, 692.54 and 315.61 is: 435.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.18 : 692.54 = 315.61 : x
  2. Step 2: Convert to fraction form
    502.18/692.54 = 315.61/x
  3. Step 3: Cross multiply
    502.18x = 692.54 × 315.61
  4. Step 4: Simplify right side
    502.18x = 218,572.55
  5. Step 5: Solve for x
    x = 218,572.55/502.18
  6. Step 6: Final answer
    x = 435.25

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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.