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Finding the Fourth Proportional to 578.75, 868.12 and 539.66

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Solution

The fourth proportional to 578.75, 868.12 and 539.66 is: 809.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.75 : 868.12 = 539.66 : x
  2. Step 2: Convert to fraction form
    578.75/868.12 = 539.66/x
  3. Step 3: Cross multiply
    578.75x = 868.12 × 539.66
  4. Step 4: Simplify right side
    578.75x = 468,490.46
  5. Step 5: Solve for x
    x = 468,490.46/578.75
  6. Step 6: Final answer
    x = 809.49

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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.