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Finding the Fourth Proportional to 437.89, 657 and 232.47

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Solution

The fourth proportional to 437.89, 657 and 232.47 is: 348.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.89 : 657 = 232.47 : x
  2. Step 2: Convert to fraction form
    437.89/657 = 232.47/x
  3. Step 3: Cross multiply
    437.89x = 657 × 232.47
  4. Step 4: Simplify right side
    437.89x = 152,732.79
  5. Step 5: Solve for x
    x = 152,732.79/437.89
  6. Step 6: Final answer
    x = 348.79

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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.