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Finding the Fourth Proportional to 542.83, 749.12 and 306.83

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Solution

The fourth proportional to 542.83, 749.12 and 306.83 is: 423.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.83 : 749.12 = 306.83 : x
  2. Step 2: Convert to fraction form
    542.83/749.12 = 306.83/x
  3. Step 3: Cross multiply
    542.83x = 749.12 × 306.83
  4. Step 4: Simplify right side
    542.83x = 229,852.49
  5. Step 5: Solve for x
    x = 229,852.49/542.83
  6. Step 6: Final answer
    x = 423.43

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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.