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Finding the Fourth Proportional to 583.28, 878.92 and 482.82

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Solution

The fourth proportional to 583.28, 878.92 and 482.82 is: 727.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.28 : 878.92 = 482.82 : x
  2. Step 2: Convert to fraction form
    583.28/878.92 = 482.82/x
  3. Step 3: Cross multiply
    583.28x = 878.92 × 482.82
  4. Step 4: Simplify right side
    583.28x = 424,355.65
  5. Step 5: Solve for x
    x = 424,355.65/583.28
  6. Step 6: Final answer
    x = 727.53

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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.