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Finding the Fourth Proportional to 447.06, 616.90 and 250.56

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Solution

The fourth proportional to 447.06, 616.90 and 250.56 is: 345.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.06 : 616.90 = 250.56 : x
  2. Step 2: Convert to fraction form
    447.06/616.90 = 250.56/x
  3. Step 3: Cross multiply
    447.06x = 616.90 × 250.56
  4. Step 4: Simplify right side
    447.06x = 154,570.46
  5. Step 5: Solve for x
    x = 154,570.46/447.06
  6. Step 6: Final answer
    x = 345.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.