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Finding the Fourth Proportional to 584, 872.17 and 552.44

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Solution

The fourth proportional to 584, 872.17 and 552.44 is: 825.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    584 : 872.17 = 552.44 : x
  2. Step 2: Convert to fraction form
    584/872.17 = 552.44/x
  3. Step 3: Cross multiply
    584x = 872.17 × 552.44
  4. Step 4: Simplify right side
    584x = 481,821.59
  5. Step 5: Solve for x
    x = 481,821.59/584
  6. Step 6: Final answer
    x = 825.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.