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Finding the Fourth Proportional to 584.75, 872.99 and 482.24

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Solution

The fourth proportional to 584.75, 872.99 and 482.24 is: 719.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.75 : 872.99 = 482.24 : x
  2. Step 2: Convert to fraction form
    584.75/872.99 = 482.24/x
  3. Step 3: Cross multiply
    584.75x = 872.99 × 482.24
  4. Step 4: Simplify right side
    584.75x = 420,983.92
  5. Step 5: Solve for x
    x = 420,983.92/584.75
  6. Step 6: Final answer
    x = 719.94

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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.