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Finding the Fourth Proportional to 402.17, 554.85 and 297.47

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Solution

The fourth proportional to 402.17, 554.85 and 297.47 is: 410.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.17 : 554.85 = 297.47 : x
  2. Step 2: Convert to fraction form
    402.17/554.85 = 297.47/x
  3. Step 3: Cross multiply
    402.17x = 554.85 × 297.47
  4. Step 4: Simplify right side
    402.17x = 165,052.62
  5. Step 5: Solve for x
    x = 165,052.62/402.17
  6. Step 6: Final answer
    x = 410.41

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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.