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Finding the Fourth Proportional to 582.72, 872.48 and 461.76

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Solution

The fourth proportional to 582.72, 872.48 and 461.76 is: 691.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.72 : 872.48 = 461.76 : x
  2. Step 2: Convert to fraction form
    582.72/872.48 = 461.76/x
  3. Step 3: Cross multiply
    582.72x = 872.48 × 461.76
  4. Step 4: Simplify right side
    582.72x = 402,876.36
  5. Step 5: Solve for x
    x = 402,876.36/582.72
  6. Step 6: Final answer
    x = 691.37

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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.