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Finding the Fourth Proportional to 542.97, 749.34 and 306.96

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Solution

The fourth proportional to 542.97, 749.34 and 306.96 is: 423.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.97 : 749.34 = 306.96 : x
  2. Step 2: Convert to fraction form
    542.97/749.34 = 306.96/x
  3. Step 3: Cross multiply
    542.97x = 749.34 × 306.96
  4. Step 4: Simplify right side
    542.97x = 230,017.41
  5. Step 5: Solve for x
    x = 230,017.41/542.97
  6. Step 6: Final answer
    x = 423.63

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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.