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Finding the Fourth Proportional to 542.91, 749.22 and 294.23

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Solution

The fourth proportional to 542.91, 749.22 and 294.23 is: 406.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.91 : 749.22 = 294.23 : x
  2. Step 2: Convert to fraction form
    542.91/749.22 = 294.23/x
  3. Step 3: Cross multiply
    542.91x = 749.22 × 294.23
  4. Step 4: Simplify right side
    542.91x = 220,440.40
  5. Step 5: Solve for x
    x = 220,440.40/542.91
  6. Step 6: Final answer
    x = 406.04

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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.