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Finding the Fourth Proportional to 494.74, 742.14 and 278.20

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Solution

The fourth proportional to 494.74, 742.14 and 278.20 is: 417.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.74 : 742.14 = 278.20 : x
  2. Step 2: Convert to fraction form
    494.74/742.14 = 278.20/x
  3. Step 3: Cross multiply
    494.74x = 742.14 × 278.20
  4. Step 4: Simplify right side
    494.74x = 206,463.35
  5. Step 5: Solve for x
    x = 206,463.35/494.74
  6. Step 6: Final answer
    x = 417.32

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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.