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Finding the Fourth Proportional to 576.17, 863.04 and 495.98

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Solution

The fourth proportional to 576.17, 863.04 and 495.98 is: 742.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.17 : 863.04 = 495.98 : x
  2. Step 2: Convert to fraction form
    576.17/863.04 = 495.98/x
  3. Step 3: Cross multiply
    576.17x = 863.04 × 495.98
  4. Step 4: Simplify right side
    576.17x = 428,050.58
  5. Step 5: Solve for x
    x = 428,050.58/576.17
  6. Step 6: Final answer
    x = 742.92

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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.