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Finding the Fourth Proportional to 349.38, 482.06 and 209.48

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Solution

The fourth proportional to 349.38, 482.06 and 209.48 is: 289.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.38 : 482.06 = 209.48 : x
  2. Step 2: Convert to fraction form
    349.38/482.06 = 209.48/x
  3. Step 3: Cross multiply
    349.38x = 482.06 × 209.48
  4. Step 4: Simplify right side
    349.38x = 100,978.47
  5. Step 5: Solve for x
    x = 100,978.47/349.38
  6. Step 6: Final answer
    x = 289.02

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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.