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Finding the Fourth Proportional to 578.26, 867.40 and 253.86

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Solution

The fourth proportional to 578.26, 867.40 and 253.86 is: 380.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.26 : 867.40 = 253.86 : x
  2. Step 2: Convert to fraction form
    578.26/867.40 = 253.86/x
  3. Step 3: Cross multiply
    578.26x = 867.40 × 253.86
  4. Step 4: Simplify right side
    578.26x = 220,198.16
  5. Step 5: Solve for x
    x = 220,198.16/578.26
  6. Step 6: Final answer
    x = 380.79

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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.