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Finding the Fourth Proportional to 325.92, 489.42 and 291.27

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Solution

The fourth proportional to 325.92, 489.42 and 291.27 is: 437.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.92 : 489.42 = 291.27 : x
  2. Step 2: Convert to fraction form
    325.92/489.42 = 291.27/x
  3. Step 3: Cross multiply
    325.92x = 489.42 × 291.27
  4. Step 4: Simplify right side
    325.92x = 142,553.36
  5. Step 5: Solve for x
    x = 142,553.36/325.92
  6. Step 6: Final answer
    x = 437.39

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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.