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Finding the Fourth Proportional to 297.39, 410.72 and 204.38

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Solution

The fourth proportional to 297.39, 410.72 and 204.38 is: 282.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.39 : 410.72 = 204.38 : x
  2. Step 2: Convert to fraction form
    297.39/410.72 = 204.38/x
  3. Step 3: Cross multiply
    297.39x = 410.72 × 204.38
  4. Step 4: Simplify right side
    297.39x = 83,942.95
  5. Step 5: Solve for x
    x = 83,942.95/297.39
  6. Step 6: Final answer
    x = 282.27

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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.