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Finding the Fourth Proportional to 489.14, 732.48 and 305.97

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Solution

The fourth proportional to 489.14, 732.48 and 305.97 is: 458.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.14 : 732.48 = 305.97 : x
  2. Step 2: Convert to fraction form
    489.14/732.48 = 305.97/x
  3. Step 3: Cross multiply
    489.14x = 732.48 × 305.97
  4. Step 4: Simplify right side
    489.14x = 224,116.91
  5. Step 5: Solve for x
    x = 224,116.91/489.14
  6. Step 6: Final answer
    x = 458.19

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Why These Related Problems?

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