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Finding the Fourth Proportional to 447, 616.92 and 291.84

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Solution

The fourth proportional to 447, 616.92 and 291.84 is: 402.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    447 : 616.92 = 291.84 : x
  2. Step 2: Convert to fraction form
    447/616.92 = 291.84/x
  3. Step 3: Cross multiply
    447x = 616.92 × 291.84
  4. Step 4: Simplify right side
    447x = 180,041.93
  5. Step 5: Solve for x
    x = 180,041.93/447
  6. Step 6: Final answer
    x = 402.78

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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.