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Finding the Fourth Proportional to 584.87, 877.42 and 173.97

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Solution

The fourth proportional to 584.87, 877.42 and 173.97 is: 260.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.87 : 877.42 = 173.97 : x
  2. Step 2: Convert to fraction form
    584.87/877.42 = 173.97/x
  3. Step 3: Cross multiply
    584.87x = 877.42 × 173.97
  4. Step 4: Simplify right side
    584.87x = 152,644.76
  5. Step 5: Solve for x
    x = 152,644.76/584.87
  6. Step 6: Final answer
    x = 260.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.