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Finding the Fourth Proportional to 437.57, 656.61 and 252.71

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Solution

The fourth proportional to 437.57, 656.61 and 252.71 is: 379.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.57 : 656.61 = 252.71 : x
  2. Step 2: Convert to fraction form
    437.57/656.61 = 252.71/x
  3. Step 3: Cross multiply
    437.57x = 656.61 × 252.71
  4. Step 4: Simplify right side
    437.57x = 165,928.63
  5. Step 5: Solve for x
    x = 165,928.63/437.57
  6. Step 6: Final answer
    x = 379.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.