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Finding the Fourth Proportional to 447.88, 618.07 and 292.63

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Solution

The fourth proportional to 447.88, 618.07 and 292.63 is: 403.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.88 : 618.07 = 292.63 : x
  2. Step 2: Convert to fraction form
    447.88/618.07 = 292.63/x
  3. Step 3: Cross multiply
    447.88x = 618.07 × 292.63
  4. Step 4: Simplify right side
    447.88x = 180,865.82
  5. Step 5: Solve for x
    x = 180,865.82/447.88
  6. Step 6: Final answer
    x = 403.83

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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.