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Finding the Fourth Proportional to 406.20, 560.82 and 257.04

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Solution

The fourth proportional to 406.20, 560.82 and 257.04 is: 354.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.20 : 560.82 = 257.04 : x
  2. Step 2: Convert to fraction form
    406.20/560.82 = 257.04/x
  3. Step 3: Cross multiply
    406.20x = 560.82 × 257.04
  4. Step 4: Simplify right side
    406.20x = 144,153.17
  5. Step 5: Solve for x
    x = 144,153.17/406.20
  6. Step 6: Final answer
    x = 354.88

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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.