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Finding the Fourth Proportional to 584.46, 878.76 and 565.02

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Solution

The fourth proportional to 584.46, 878.76 and 565.02 is: 849.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.46 : 878.76 = 565.02 : x
  2. Step 2: Convert to fraction form
    584.46/878.76 = 565.02/x
  3. Step 3: Cross multiply
    584.46x = 878.76 × 565.02
  4. Step 4: Simplify right side
    584.46x = 496,516.98
  5. Step 5: Solve for x
    x = 496,516.98/584.46
  6. Step 6: Final answer
    x = 849.53

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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.