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Finding the Fourth Proportional to 437.62, 656.69 and 232.34

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Solution

The fourth proportional to 437.62, 656.69 and 232.34 is: 348.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.62 : 656.69 = 232.34 : x
  2. Step 2: Convert to fraction form
    437.62/656.69 = 232.34/x
  3. Step 3: Cross multiply
    437.62x = 656.69 × 232.34
  4. Step 4: Simplify right side
    437.62x = 152,575.35
  5. Step 5: Solve for x
    x = 152,575.35/437.62
  6. Step 6: Final answer
    x = 348.65

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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.