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Finding the Fourth Proportional to 353.04, 487.16 and 205.64

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Solution

The fourth proportional to 353.04, 487.16 and 205.64 is: 283.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.04 : 487.16 = 205.64 : x
  2. Step 2: Convert to fraction form
    353.04/487.16 = 205.64/x
  3. Step 3: Cross multiply
    353.04x = 487.16 × 205.64
  4. Step 4: Simplify right side
    353.04x = 100,179.58
  5. Step 5: Solve for x
    x = 100,179.58/353.04
  6. Step 6: Final answer
    x = 283.76

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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.