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Finding the Fourth Proportional to 447.78, 618.04 and 332.22

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Solution

The fourth proportional to 447.78, 618.04 and 332.22 is: 458.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.78 : 618.04 = 332.22 : x
  2. Step 2: Convert to fraction form
    447.78/618.04 = 332.22/x
  3. Step 3: Cross multiply
    447.78x = 618.04 × 332.22
  4. Step 4: Simplify right side
    447.78x = 205,325.25
  5. Step 5: Solve for x
    x = 205,325.25/447.78
  6. Step 6: Final answer
    x = 458.54

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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.