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Finding the Fourth Proportional to 395.40, 591.87 and 232.59

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Solution

The fourth proportional to 395.40, 591.87 and 232.59 is: 348.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.40 : 591.87 = 232.59 : x
  2. Step 2: Convert to fraction form
    395.40/591.87 = 232.59/x
  3. Step 3: Cross multiply
    395.40x = 591.87 × 232.59
  4. Step 4: Simplify right side
    395.40x = 137,663.04
  5. Step 5: Solve for x
    x = 137,663.04/395.40
  6. Step 6: Final answer
    x = 348.16

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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.