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Finding the Fourth Proportional to 387.35, 534.77 and 254.78

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Solution

The fourth proportional to 387.35, 534.77 and 254.78 is: 351.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.35 : 534.77 = 254.78 : x
  2. Step 2: Convert to fraction form
    387.35/534.77 = 254.78/x
  3. Step 3: Cross multiply
    387.35x = 534.77 × 254.78
  4. Step 4: Simplify right side
    387.35x = 136,246.66
  5. Step 5: Solve for x
    x = 136,246.66/387.35
  6. Step 6: Final answer
    x = 351.74

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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.