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Finding the Fourth Proportional to 406.14, 560.24 and 250.62

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Solution

The fourth proportional to 406.14, 560.24 and 250.62 is: 345.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.14 : 560.24 = 250.62 : x
  2. Step 2: Convert to fraction form
    406.14/560.24 = 250.62/x
  3. Step 3: Cross multiply
    406.14x = 560.24 × 250.62
  4. Step 4: Simplify right side
    406.14x = 140,407.35
  5. Step 5: Solve for x
    x = 140,407.35/406.14
  6. Step 6: Final answer
    x = 345.71

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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.