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Finding the Fourth Proportional to 584.10, 876.20 and 173.21

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Solution

The fourth proportional to 584.10, 876.20 and 173.21 is: 259.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.10 : 876.20 = 173.21 : x
  2. Step 2: Convert to fraction form
    584.10/876.20 = 173.21/x
  3. Step 3: Cross multiply
    584.10x = 876.20 × 173.21
  4. Step 4: Simplify right side
    584.10x = 151,761.35
  5. Step 5: Solve for x
    x = 151,761.35/584.10
  6. Step 6: Final answer
    x = 259.82

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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.