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Finding the Fourth Proportional to 444.97, 614.02 and 248.47

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Solution

The fourth proportional to 444.97, 614.02 and 248.47 is: 342.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.97 : 614.02 = 248.47 : x
  2. Step 2: Convert to fraction form
    444.97/614.02 = 248.47/x
  3. Step 3: Cross multiply
    444.97x = 614.02 × 248.47
  4. Step 4: Simplify right side
    444.97x = 152,565.55
  5. Step 5: Solve for x
    x = 152,565.55/444.97
  6. Step 6: Final answer
    x = 342.87

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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.