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Finding the Fourth Proportional to 584.88, 872.24 and 537.62

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Solution

The fourth proportional to 584.88, 872.24 and 537.62 is: 801.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.88 : 872.24 = 537.62 : x
  2. Step 2: Convert to fraction form
    584.88/872.24 = 537.62/x
  3. Step 3: Cross multiply
    584.88x = 872.24 × 537.62
  4. Step 4: Simplify right side
    584.88x = 468,933.67
  5. Step 5: Solve for x
    x = 468,933.67/584.88
  6. Step 6: Final answer
    x = 801.76

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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.