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Finding the Fourth Proportional to 387.68, 534.92 and 256.61

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Solution

The fourth proportional to 387.68, 534.92 and 256.61 is: 354.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.68 : 534.92 = 256.61 : x
  2. Step 2: Convert to fraction form
    387.68/534.92 = 256.61/x
  3. Step 3: Cross multiply
    387.68x = 534.92 × 256.61
  4. Step 4: Simplify right side
    387.68x = 137,261.86
  5. Step 5: Solve for x
    x = 137,261.86/387.68
  6. Step 6: Final answer
    x = 354.06

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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.