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Finding the Fourth Proportional to 353.65, 488.04 and 206.29

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Solution

The fourth proportional to 353.65, 488.04 and 206.29 is: 284.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.65 : 488.04 = 206.29 : x
  2. Step 2: Convert to fraction form
    353.65/488.04 = 206.29/x
  3. Step 3: Cross multiply
    353.65x = 488.04 × 206.29
  4. Step 4: Simplify right side
    353.65x = 100,674.30
  5. Step 5: Solve for x
    x = 100,674.30/353.65
  6. Step 6: Final answer
    x = 284.68

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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.