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Finding the Fourth Proportional to 494.68, 742.56 and 278.32

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Solution

The fourth proportional to 494.68, 742.56 and 278.32 is: 417.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.68 : 742.56 = 278.32 : x
  2. Step 2: Convert to fraction form
    494.68/742.56 = 278.32/x
  3. Step 3: Cross multiply
    494.68x = 742.56 × 278.32
  4. Step 4: Simplify right side
    494.68x = 206,669.30
  5. Step 5: Solve for x
    x = 206,669.30/494.68
  6. Step 6: Final answer
    x = 417.78

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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.