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Finding the Fourth Proportional to 578.52, 868.14 and 253.80

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Solution

The fourth proportional to 578.52, 868.14 and 253.80 is: 380.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.52 : 868.14 = 253.80 : x
  2. Step 2: Convert to fraction form
    578.52/868.14 = 253.80/x
  3. Step 3: Cross multiply
    578.52x = 868.14 × 253.80
  4. Step 4: Simplify right side
    578.52x = 220,333.93
  5. Step 5: Solve for x
    x = 220,333.93/578.52
  6. Step 6: Final answer
    x = 380.86

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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.