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Finding the Fourth Proportional to 415.08, 572.24 and 402.30

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Solution

The fourth proportional to 415.08, 572.24 and 402.30 is: 554.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.08 : 572.24 = 402.30 : x
  2. Step 2: Convert to fraction form
    415.08/572.24 = 402.30/x
  3. Step 3: Cross multiply
    415.08x = 572.24 × 402.30
  4. Step 4: Simplify right side
    415.08x = 230,212.15
  5. Step 5: Solve for x
    x = 230,212.15/415.08
  6. Step 6: Final answer
    x = 554.62

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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.