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Finding the Fourth Proportional to 353.69, 488.13 and 206.38

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Solution

The fourth proportional to 353.69, 488.13 and 206.38 is: 284.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.69 : 488.13 = 206.38 : x
  2. Step 2: Convert to fraction form
    353.69/488.13 = 206.38/x
  3. Step 3: Cross multiply
    353.69x = 488.13 × 206.38
  4. Step 4: Simplify right side
    353.69x = 100,737.83
  5. Step 5: Solve for x
    x = 100,737.83/353.69
  6. Step 6: Final answer
    x = 284.82

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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.