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Finding the Fourth Proportional to 448.46, 672.39 and 229.17

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Solution

The fourth proportional to 448.46, 672.39 and 229.17 is: 343.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.46 : 672.39 = 229.17 : x
  2. Step 2: Convert to fraction form
    448.46/672.39 = 229.17/x
  3. Step 3: Cross multiply
    448.46x = 672.39 × 229.17
  4. Step 4: Simplify right side
    448.46x = 154,091.62
  5. Step 5: Solve for x
    x = 154,091.62/448.46
  6. Step 6: Final answer
    x = 343.60

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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.