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Finding the Fourth Proportional to 447.94, 618.15 and 270.91

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Solution

The fourth proportional to 447.94, 618.15 and 270.91 is: 373.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.94 : 618.15 = 270.91 : x
  2. Step 2: Convert to fraction form
    447.94/618.15 = 270.91/x
  3. Step 3: Cross multiply
    447.94x = 618.15 × 270.91
  4. Step 4: Simplify right side
    447.94x = 167,463.02
  5. Step 5: Solve for x
    x = 167,463.02/447.94
  6. Step 6: Final answer
    x = 373.85

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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.