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Finding the Fourth Proportional to 447.70, 616.90 and 290.14

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Solution

The fourth proportional to 447.70, 616.90 and 290.14 is: 399.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.70 : 616.90 = 290.14 : x
  2. Step 2: Convert to fraction form
    447.70/616.90 = 290.14/x
  3. Step 3: Cross multiply
    447.70x = 616.90 × 290.14
  4. Step 4: Simplify right side
    447.70x = 178,987.37
  5. Step 5: Solve for x
    x = 178,987.37/447.70
  6. Step 6: Final answer
    x = 399.79

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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.