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Finding the Fourth Proportional to 447.71, 618.10 and 290.39

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Solution

The fourth proportional to 447.71, 618.10 and 290.39 is: 400.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.71 : 618.10 = 290.39 : x
  2. Step 2: Convert to fraction form
    447.71/618.10 = 290.39/x
  3. Step 3: Cross multiply
    447.71x = 618.10 × 290.39
  4. Step 4: Simplify right side
    447.71x = 179,486.24
  5. Step 5: Solve for x
    x = 179,486.24/447.71
  6. Step 6: Final answer
    x = 400.90

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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.