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Finding the Fourth Proportional to 387.62, 534.69 and 232.34

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Solution

The fourth proportional to 387.62, 534.69 and 232.34 is: 320.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.62 : 534.69 = 232.34 : x
  2. Step 2: Convert to fraction form
    387.62/534.69 = 232.34/x
  3. Step 3: Cross multiply
    387.62x = 534.69 × 232.34
  4. Step 4: Simplify right side
    387.62x = 124,229.87
  5. Step 5: Solve for x
    x = 124,229.87/387.62
  6. Step 6: Final answer
    x = 320.49

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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.