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Finding the Fourth Proportional to 406.32, 560.22 and 353.87

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Solution

The fourth proportional to 406.32, 560.22 and 353.87 is: 487.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.32 : 560.22 = 353.87 : x
  2. Step 2: Convert to fraction form
    406.32/560.22 = 353.87/x
  3. Step 3: Cross multiply
    406.32x = 560.22 × 353.87
  4. Step 4: Simplify right side
    406.32x = 198,243.02
  5. Step 5: Solve for x
    x = 198,243.02/406.32
  6. Step 6: Final answer
    x = 487.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.