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Finding the Fourth Proportional to 584.55, 876.15 and 324.23

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Solution

The fourth proportional to 584.55, 876.15 and 324.23 is: 485.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.55 : 876.15 = 324.23 : x
  2. Step 2: Convert to fraction form
    584.55/876.15 = 324.23/x
  3. Step 3: Cross multiply
    584.55x = 876.15 × 324.23
  4. Step 4: Simplify right side
    584.55x = 284,069.73
  5. Step 5: Solve for x
    x = 284,069.73/584.55
  6. Step 6: Final answer
    x = 485.96

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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.