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Finding the Fourth Proportional to 565.48, 850.38 and 494.20

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Solution

The fourth proportional to 565.48, 850.38 and 494.20 is: 743.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.48 : 850.38 = 494.20 : x
  2. Step 2: Convert to fraction form
    565.48/850.38 = 494.20/x
  3. Step 3: Cross multiply
    565.48x = 850.38 × 494.20
  4. Step 4: Simplify right side
    565.48x = 420,257.80
  5. Step 5: Solve for x
    x = 420,257.80/565.48
  6. Step 6: Final answer
    x = 743.19

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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.