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Finding the Fourth Proportional to 584.56, 876.12 and 324.52

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Solution

The fourth proportional to 584.56, 876.12 and 324.52 is: 486.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.56 : 876.12 = 324.52 : x
  2. Step 2: Convert to fraction form
    584.56/876.12 = 324.52/x
  3. Step 3: Cross multiply
    584.56x = 876.12 × 324.52
  4. Step 4: Simplify right side
    584.56x = 284,318.46
  5. Step 5: Solve for x
    x = 284,318.46/584.56
  6. Step 6: Final answer
    x = 486.38

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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.