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Finding the Fourth Proportional to 402.16, 553.48 and 339.26

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Solution

The fourth proportional to 402.16, 553.48 and 339.26 is: 466.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.16 : 553.48 = 339.26 : x
  2. Step 2: Convert to fraction form
    402.16/553.48 = 339.26/x
  3. Step 3: Cross multiply
    402.16x = 553.48 × 339.26
  4. Step 4: Simplify right side
    402.16x = 187,773.62
  5. Step 5: Solve for x
    x = 187,773.62/402.16
  6. Step 6: Final answer
    x = 466.91

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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.