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Finding the Fourth Proportional to 584.12, 875.88 and 173.21

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Solution

The fourth proportional to 584.12, 875.88 and 173.21 is: 259.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.12 : 875.88 = 173.21 : x
  2. Step 2: Convert to fraction form
    584.12/875.88 = 173.21/x
  3. Step 3: Cross multiply
    584.12x = 875.88 × 173.21
  4. Step 4: Simplify right side
    584.12x = 151,706.80
  5. Step 5: Solve for x
    x = 151,706.80/584.12
  6. Step 6: Final answer
    x = 259.72

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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.