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Finding the Fourth Proportional to 576.82, 869.39 and 496.63

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Solution

The fourth proportional to 576.82, 869.39 and 496.63 is: 748.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.82 : 869.39 = 496.63 : x
  2. Step 2: Convert to fraction form
    576.82/869.39 = 496.63/x
  3. Step 3: Cross multiply
    576.82x = 869.39 × 496.63
  4. Step 4: Simplify right side
    576.82x = 431,763.29
  5. Step 5: Solve for x
    x = 431,763.29/576.82
  6. Step 6: Final answer
    x = 748.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.