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Finding the Fourth Proportional to 418.42, 576.12 and 356.11

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Solution

The fourth proportional to 418.42, 576.12 and 356.11 is: 490.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.42 : 576.12 = 356.11 : x
  2. Step 2: Convert to fraction form
    418.42/576.12 = 356.11/x
  3. Step 3: Cross multiply
    418.42x = 576.12 × 356.11
  4. Step 4: Simplify right side
    418.42x = 205,162.09
  5. Step 5: Solve for x
    x = 205,162.09/418.42
  6. Step 6: Final answer
    x = 490.33

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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.