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Finding the Fourth Proportional to 649.66, 974.97 and 265.18

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Solution

The fourth proportional to 649.66, 974.97 and 265.18 is: 397.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.66 : 974.97 = 265.18 : x
  2. Step 2: Convert to fraction form
    649.66/974.97 = 265.18/x
  3. Step 3: Cross multiply
    649.66x = 974.97 × 265.18
  4. Step 4: Simplify right side
    649.66x = 258,542.54
  5. Step 5: Solve for x
    x = 258,542.54/649.66
  6. Step 6: Final answer
    x = 397.97

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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.