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Finding the Fourth Proportional to 494.73, 743.13 and 478.35

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Solution

The fourth proportional to 494.73, 743.13 and 478.35 is: 718.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.73 : 743.13 = 478.35 : x
  2. Step 2: Convert to fraction form
    494.73/743.13 = 478.35/x
  3. Step 3: Cross multiply
    494.73x = 743.13 × 478.35
  4. Step 4: Simplify right side
    494.73x = 355,476.24
  5. Step 5: Solve for x
    x = 355,476.24/494.73
  6. Step 6: Final answer
    x = 718.53

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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.