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Finding the Fourth Proportional to 387.59, 534.96 and 232.34

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Solution

The fourth proportional to 387.59, 534.96 and 232.34 is: 320.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.59 : 534.96 = 232.34 : x
  2. Step 2: Convert to fraction form
    387.59/534.96 = 232.34/x
  3. Step 3: Cross multiply
    387.59x = 534.96 × 232.34
  4. Step 4: Simplify right side
    387.59x = 124,289.93
  5. Step 5: Solve for x
    x = 124,289.93/387.59
  6. Step 6: Final answer
    x = 320.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.