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Finding the Fourth Proportional to 387.98, 535.18 and 257.17

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Solution

The fourth proportional to 387.98, 535.18 and 257.17 is: 354.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.98 : 535.18 = 257.17 : x
  2. Step 2: Convert to fraction form
    387.98/535.18 = 257.17/x
  3. Step 3: Cross multiply
    387.98x = 535.18 × 257.17
  4. Step 4: Simplify right side
    387.98x = 137,632.24
  5. Step 5: Solve for x
    x = 137,632.24/387.98
  6. Step 6: Final answer
    x = 354.74

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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.