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Finding the Fourth Proportional to 349.16, 481.68 and 209.24

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Solution

The fourth proportional to 349.16, 481.68 and 209.24 is: 288.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.16 : 481.68 = 209.24 : x
  2. Step 2: Convert to fraction form
    349.16/481.68 = 209.24/x
  3. Step 3: Cross multiply
    349.16x = 481.68 × 209.24
  4. Step 4: Simplify right side
    349.16x = 100,784.31
  5. Step 5: Solve for x
    x = 100,784.31/349.16
  6. Step 6: Final answer
    x = 288.65

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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.