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Finding the Fourth Proportional to 578.67, 868.62 and 565.61

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Solution

The fourth proportional to 578.67, 868.62 and 565.61 is: 849.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.67 : 868.62 = 565.61 : x
  2. Step 2: Convert to fraction form
    578.67/868.62 = 565.61/x
  3. Step 3: Cross multiply
    578.67x = 868.62 × 565.61
  4. Step 4: Simplify right side
    578.67x = 491,297.33
  5. Step 5: Solve for x
    x = 491,297.33/578.67
  6. Step 6: Final answer
    x = 849.01

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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.