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Finding the Fourth Proportional to 447.41, 670.71 and 154.75

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Solution

The fourth proportional to 447.41, 670.71 and 154.75 is: 231.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.41 : 670.71 = 154.75 : x
  2. Step 2: Convert to fraction form
    447.41/670.71 = 154.75/x
  3. Step 3: Cross multiply
    447.41x = 670.71 × 154.75
  4. Step 4: Simplify right side
    447.41x = 103,792.37
  5. Step 5: Solve for x
    x = 103,792.37/447.41
  6. Step 6: Final answer
    x = 231.98

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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.