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Finding the Fourth Proportional to 489.34, 732.57 and 296.38

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Solution

The fourth proportional to 489.34, 732.57 and 296.38 is: 443.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.34 : 732.57 = 296.38 : x
  2. Step 2: Convert to fraction form
    489.34/732.57 = 296.38/x
  3. Step 3: Cross multiply
    489.34x = 732.57 × 296.38
  4. Step 4: Simplify right side
    489.34x = 217,119.10
  5. Step 5: Solve for x
    x = 217,119.10/489.34
  6. Step 6: Final answer
    x = 443.70

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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.