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Finding the Fourth Proportional to 418.11, 576.99 and 229.06

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Solution

The fourth proportional to 418.11, 576.99 and 229.06 is: 316.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.11 : 576.99 = 229.06 : x
  2. Step 2: Convert to fraction form
    418.11/576.99 = 229.06/x
  3. Step 3: Cross multiply
    418.11x = 576.99 × 229.06
  4. Step 4: Simplify right side
    418.11x = 132,165.33
  5. Step 5: Solve for x
    x = 132,165.33/418.11
  6. Step 6: Final answer
    x = 316.10

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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.