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Finding the Fourth Proportional to 353.07, 487.10 and 205.65

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Solution

The fourth proportional to 353.07, 487.10 and 205.65 is: 283.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.07 : 487.10 = 205.65 : x
  2. Step 2: Convert to fraction form
    353.07/487.10 = 205.65/x
  3. Step 3: Cross multiply
    353.07x = 487.10 × 205.65
  4. Step 4: Simplify right side
    353.07x = 100,171.09
  5. Step 5: Solve for x
    x = 100,171.09/353.07
  6. Step 6: Final answer
    x = 283.71

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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.