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Finding the Fourth Proportional to 353.12, 487.37 and 205.84

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Solution

The fourth proportional to 353.12, 487.37 and 205.84 is: 284.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.12 : 487.37 = 205.84 : x
  2. Step 2: Convert to fraction form
    353.12/487.37 = 205.84/x
  3. Step 3: Cross multiply
    353.12x = 487.37 × 205.84
  4. Step 4: Simplify right side
    353.12x = 100,320.24
  5. Step 5: Solve for x
    x = 100,320.24/353.12
  6. Step 6: Final answer
    x = 284.10

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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.