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Finding the Fourth Proportional to 639.80, 958.24 and 565.91

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Solution

The fourth proportional to 639.80, 958.24 and 565.91 is: 847.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.80 : 958.24 = 565.91 : x
  2. Step 2: Convert to fraction form
    639.80/958.24 = 565.91/x
  3. Step 3: Cross multiply
    639.80x = 958.24 × 565.91
  4. Step 4: Simplify right side
    639.80x = 542,269.98
  5. Step 5: Solve for x
    x = 542,269.98/639.80
  6. Step 6: Final answer
    x = 847.57

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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.