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Finding the Fourth Proportional to 494.83, 742.38 and 407.13

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Solution

The fourth proportional to 494.83, 742.38 and 407.13 is: 610.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.83 : 742.38 = 407.13 : x
  2. Step 2: Convert to fraction form
    494.83/742.38 = 407.13/x
  3. Step 3: Cross multiply
    494.83x = 742.38 × 407.13
  4. Step 4: Simplify right side
    494.83x = 302,241.43
  5. Step 5: Solve for x
    x = 302,241.43/494.83
  6. Step 6: Final answer
    x = 610.79

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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.