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Finding the Fourth Proportional to 542.75, 749.01 and 306.79

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Solution

The fourth proportional to 542.75, 749.01 and 306.79 is: 423.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.75 : 749.01 = 306.79 : x
  2. Step 2: Convert to fraction form
    542.75/749.01 = 306.79/x
  3. Step 3: Cross multiply
    542.75x = 749.01 × 306.79
  4. Step 4: Simplify right side
    542.75x = 229,785.03
  5. Step 5: Solve for x
    x = 229,785.03/542.75
  6. Step 6: Final answer
    x = 423.38

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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.