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Finding the Fourth Proportional to 392.96, 542.14 and 253.06

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Solution

The fourth proportional to 392.96, 542.14 and 253.06 is: 349.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.96 : 542.14 = 253.06 : x
  2. Step 2: Convert to fraction form
    392.96/542.14 = 253.06/x
  3. Step 3: Cross multiply
    392.96x = 542.14 × 253.06
  4. Step 4: Simplify right side
    392.96x = 137,193.95
  5. Step 5: Solve for x
    x = 137,193.95/392.96
  6. Step 6: Final answer
    x = 349.13

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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.