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Finding the Fourth Proportional to 395.54, 592.56 and 232.70

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Solution

The fourth proportional to 395.54, 592.56 and 232.70 is: 348.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.54 : 592.56 = 232.70 : x
  2. Step 2: Convert to fraction form
    395.54/592.56 = 232.70/x
  3. Step 3: Cross multiply
    395.54x = 592.56 × 232.70
  4. Step 4: Simplify right side
    395.54x = 137,888.71
  5. Step 5: Solve for x
    x = 137,888.71/395.54
  6. Step 6: Final answer
    x = 348.61

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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.