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Finding the Fourth Proportional to 584.20, 876.35 and 173.31

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Solution

The fourth proportional to 584.20, 876.35 and 173.31 is: 259.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.20 : 876.35 = 173.31 : x
  2. Step 2: Convert to fraction form
    584.20/876.35 = 173.31/x
  3. Step 3: Cross multiply
    584.20x = 876.35 × 173.31
  4. Step 4: Simplify right side
    584.20x = 151,880.22
  5. Step 5: Solve for x
    x = 151,880.22/584.20
  6. Step 6: Final answer
    x = 259.98

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