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Finding the Fourth Proportional to 353.13, 487.40 and 205.78

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Solution

The fourth proportional to 353.13, 487.40 and 205.78 is: 284.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.13 : 487.40 = 205.78 : x
  2. Step 2: Convert to fraction form
    353.13/487.40 = 205.78/x
  3. Step 3: Cross multiply
    353.13x = 487.40 × 205.78
  4. Step 4: Simplify right side
    353.13x = 100,297.17
  5. Step 5: Solve for x
    x = 100,297.17/353.13
  6. Step 6: Final answer
    x = 284.02

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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.