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Finding the Fourth Proportional to 387.73, 535.13 and 247.91

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Solution

The fourth proportional to 387.73, 535.13 and 247.91 is: 342.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.73 : 535.13 = 247.91 : x
  2. Step 2: Convert to fraction form
    387.73/535.13 = 247.91/x
  3. Step 3: Cross multiply
    387.73x = 535.13 × 247.91
  4. Step 4: Simplify right side
    387.73x = 132,664.08
  5. Step 5: Solve for x
    x = 132,664.08/387.73
  6. Step 6: Final answer
    x = 342.16

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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.