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Finding the Fourth Proportional to 542.38, 814.78 and 298.76

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Solution

The fourth proportional to 542.38, 814.78 and 298.76 is: 448.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.38 : 814.78 = 298.76 : x
  2. Step 2: Convert to fraction form
    542.38/814.78 = 298.76/x
  3. Step 3: Cross multiply
    542.38x = 814.78 × 298.76
  4. Step 4: Simplify right side
    542.38x = 243,423.67
  5. Step 5: Solve for x
    x = 243,423.67/542.38
  6. Step 6: Final answer
    x = 448.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.