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Finding the Fourth Proportional to 584.63, 872.15 and 568.73

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Solution

The fourth proportional to 584.63, 872.15 and 568.73 is: 848.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.63 : 872.15 = 568.73 : x
  2. Step 2: Convert to fraction form
    584.63/872.15 = 568.73/x
  3. Step 3: Cross multiply
    584.63x = 872.15 × 568.73
  4. Step 4: Simplify right side
    584.63x = 496,015.03
  5. Step 5: Solve for x
    x = 496,015.03/584.63
  6. Step 6: Final answer
    x = 848.43

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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.