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Finding the Fourth Proportional to 397.71, 595.41 and 232.68

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Solution

The fourth proportional to 397.71, 595.41 and 232.68 is: 348.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.71 : 595.41 = 232.68 : x
  2. Step 2: Convert to fraction form
    397.71/595.41 = 232.68/x
  3. Step 3: Cross multiply
    397.71x = 595.41 × 232.68
  4. Step 4: Simplify right side
    397.71x = 138,540.00
  5. Step 5: Solve for x
    x = 138,540.00/397.71
  6. Step 6: Final answer
    x = 348.34

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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.