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Finding the Fourth Proportional to 409.08, 563.62 and 338.74

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Solution

The fourth proportional to 409.08, 563.62 and 338.74 is: 466.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.08 : 563.62 = 338.74 : x
  2. Step 2: Convert to fraction form
    409.08/563.62 = 338.74/x
  3. Step 3: Cross multiply
    409.08x = 563.62 × 338.74
  4. Step 4: Simplify right side
    409.08x = 190,920.64
  5. Step 5: Solve for x
    x = 190,920.64/409.08
  6. Step 6: Final answer
    x = 466.71

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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.