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Finding the Fourth Proportional to 542.86, 749.14 and 306.80

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Solution

The fourth proportional to 542.86, 749.14 and 306.80 is: 423.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.86 : 749.14 = 306.80 : x
  2. Step 2: Convert to fraction form
    542.86/749.14 = 306.80/x
  3. Step 3: Cross multiply
    542.86x = 749.14 × 306.80
  4. Step 4: Simplify right side
    542.86x = 229,837.44
  5. Step 5: Solve for x
    x = 229,837.44/542.86
  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.