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Finding the Fourth Proportional to 402.58, 551.13 and 399.88

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Solution

The fourth proportional to 402.58, 551.13 and 399.88 is: 547.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.58 : 551.13 = 399.88 : x
  2. Step 2: Convert to fraction form
    402.58/551.13 = 399.88/x
  3. Step 3: Cross multiply
    402.58x = 551.13 × 399.88
  4. Step 4: Simplify right side
    402.58x = 220,385.86
  5. Step 5: Solve for x
    x = 220,385.86/402.58
  6. Step 6: Final answer
    x = 547.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.