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Finding the Fourth Proportional to 447.29, 670.85 and 154.78

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Solution

The fourth proportional to 447.29, 670.85 and 154.78 is: 232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.29 : 670.85 = 154.78 : x
  2. Step 2: Convert to fraction form
    447.29/670.85 = 154.78/x
  3. Step 3: Cross multiply
    447.29x = 670.85 × 154.78
  4. Step 4: Simplify right side
    447.29x = 103,832.29
  5. Step 5: Solve for x
    x = 103,832.29/447.29
  6. Step 6: Final answer
    x = 232.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.