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Finding the Fourth Proportional to 437.89, 656.63 and 232.56

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Solution

The fourth proportional to 437.89, 656.63 and 232.56 is: 348.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.89 : 656.63 = 232.56 : x
  2. Step 2: Convert to fraction form
    437.89/656.63 = 232.56/x
  3. Step 3: Cross multiply
    437.89x = 656.63 × 232.56
  4. Step 4: Simplify right side
    437.89x = 152,701.43
  5. Step 5: Solve for x
    x = 152,701.43/437.89
  6. Step 6: Final answer
    x = 348.72

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Why These Related Problems?

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