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Finding the Fourth Proportional to 392.68, 542.09 and 245.53

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Solution

The fourth proportional to 392.68, 542.09 and 245.53 is: 338.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.68 : 542.09 = 245.53 : x
  2. Step 2: Convert to fraction form
    392.68/542.09 = 245.53/x
  3. Step 3: Cross multiply
    392.68x = 542.09 × 245.53
  4. Step 4: Simplify right side
    392.68x = 133,098.13
  5. Step 5: Solve for x
    x = 133,098.13/392.68
  6. Step 6: Final answer
    x = 338.95

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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.