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Finding the Fourth Proportional to 580.14, 868.38 and 565.56

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Solution

The fourth proportional to 580.14, 868.38 and 565.56 is: 846.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.14 : 868.38 = 565.56 : x
  2. Step 2: Convert to fraction form
    580.14/868.38 = 565.56/x
  3. Step 3: Cross multiply
    580.14x = 868.38 × 565.56
  4. Step 4: Simplify right side
    580.14x = 491,120.99
  5. Step 5: Solve for x
    x = 491,120.99/580.14
  6. Step 6: Final answer
    x = 846.56

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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.