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Finding the Fourth Proportional to 387.90, 534.78 and 256.92

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Solution

The fourth proportional to 387.90, 534.78 and 256.92 is: 354.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.90 : 534.78 = 256.92 : x
  2. Step 2: Convert to fraction form
    387.90/534.78 = 256.92/x
  3. Step 3: Cross multiply
    387.90x = 534.78 × 256.92
  4. Step 4: Simplify right side
    387.90x = 137,395.68
  5. Step 5: Solve for x
    x = 137,395.68/387.90
  6. Step 6: Final answer
    x = 354.20

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