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Finding the Fourth Proportional to 649.17, 974.14 and 259.09

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Solution

The fourth proportional to 649.17, 974.14 and 259.09 is: 388.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.17 : 974.14 = 259.09 : x
  2. Step 2: Convert to fraction form
    649.17/974.14 = 259.09/x
  3. Step 3: Cross multiply
    649.17x = 974.14 × 259.09
  4. Step 4: Simplify right side
    649.17x = 252,389.93
  5. Step 5: Solve for x
    x = 252,389.93/649.17
  6. Step 6: Final answer
    x = 388.79

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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.