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Finding the Fourth Proportional to 649.97, 974.73 and 239.00

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Solution

The fourth proportional to 649.97, 974.73 and 239.00 is: 358.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.97 : 974.73 = 239.00 : x
  2. Step 2: Convert to fraction form
    649.97/974.73 = 239.00/x
  3. Step 3: Cross multiply
    649.97x = 974.73 × 239.00
  4. Step 4: Simplify right side
    649.97x = 232,956.49
  5. Step 5: Solve for x
    x = 232,956.49/649.97
  6. Step 6: Final answer
    x = 358.41

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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.