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Finding the Fourth Proportional to 584.26, 876.56 and 173.43

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Solution

The fourth proportional to 584.26, 876.56 and 173.43 is: 260.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.26 : 876.56 = 173.43 : x
  2. Step 2: Convert to fraction form
    584.26/876.56 = 173.43/x
  3. Step 3: Cross multiply
    584.26x = 876.56 × 173.43
  4. Step 4: Simplify right side
    584.26x = 152,020.93
  5. Step 5: Solve for x
    x = 152,020.93/584.26
  6. Step 6: Final answer
    x = 260.20

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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.