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Finding the Fourth Proportional to 392.97, 542.34 and 253.11

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Solution

The fourth proportional to 392.97, 542.34 and 253.11 is: 349.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.97 : 542.34 = 253.11 : x
  2. Step 2: Convert to fraction form
    392.97/542.34 = 253.11/x
  3. Step 3: Cross multiply
    392.97x = 542.34 × 253.11
  4. Step 4: Simplify right side
    392.97x = 137,271.68
  5. Step 5: Solve for x
    x = 137,271.68/392.97
  6. Step 6: Final answer
    x = 349.32

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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.