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Finding the Fourth Proportional to 387.66, 534.68 and 230.24

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Solution

The fourth proportional to 387.66, 534.68 and 230.24 is: 317.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.66 : 534.68 = 230.24 : x
  2. Step 2: Convert to fraction form
    387.66/534.68 = 230.24/x
  3. Step 3: Cross multiply
    387.66x = 534.68 × 230.24
  4. Step 4: Simplify right side
    387.66x = 123,104.72
  5. Step 5: Solve for x
    x = 123,104.72/387.66
  6. Step 6: Final answer
    x = 317.56

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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.