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Finding the Fourth Proportional to 576.25, 863.92 and 332.49

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Solution

The fourth proportional to 576.25, 863.92 and 332.49 is: 498.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.25 : 863.92 = 332.49 : x
  2. Step 2: Convert to fraction form
    576.25/863.92 = 332.49/x
  3. Step 3: Cross multiply
    576.25x = 863.92 × 332.49
  4. Step 4: Simplify right side
    576.25x = 287,244.76
  5. Step 5: Solve for x
    x = 287,244.76/576.25
  6. Step 6: Final answer
    x = 498.47

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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.