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Finding the Fourth Proportional to 576.50, 864.52 and 247.23

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Solution

The fourth proportional to 576.50, 864.52 and 247.23 is: 370.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.50 : 864.52 = 247.23 : x
  2. Step 2: Convert to fraction form
    576.50/864.52 = 247.23/x
  3. Step 3: Cross multiply
    576.50x = 864.52 × 247.23
  4. Step 4: Simplify right side
    576.50x = 213,734.66
  5. Step 5: Solve for x
    x = 213,734.66/576.50
  6. Step 6: Final answer
    x = 370.74

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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.