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Finding the Fourth Proportional to 447.88, 618.12 and 282.22

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Solution

The fourth proportional to 447.88, 618.12 and 282.22 is: 389.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.88 : 618.12 = 282.22 : x
  2. Step 2: Convert to fraction form
    447.88/618.12 = 282.22/x
  3. Step 3: Cross multiply
    447.88x = 618.12 × 282.22
  4. Step 4: Simplify right side
    447.88x = 174,445.83
  5. Step 5: Solve for x
    x = 174,445.83/447.88
  6. Step 6: Final answer
    x = 389.49

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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.