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Finding the Fourth Proportional to 584.99, 878.69 and 565.55

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Solution

The fourth proportional to 584.99, 878.69 and 565.55 is: 849.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.99 : 878.69 = 565.55 : x
  2. Step 2: Convert to fraction form
    584.99/878.69 = 565.55/x
  3. Step 3: Cross multiply
    584.99x = 878.69 × 565.55
  4. Step 4: Simplify right side
    584.99x = 496,943.13
  5. Step 5: Solve for x
    x = 496,943.13/584.99
  6. Step 6: Final answer
    x = 849.49

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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.