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Finding the Fourth Proportional to 349.29, 482.10 and 209.49

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Solution

The fourth proportional to 349.29, 482.10 and 209.49 is: 289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.29 : 482.10 = 209.49 : x
  2. Step 2: Convert to fraction form
    349.29/482.10 = 209.49/x
  3. Step 3: Cross multiply
    349.29x = 482.10 × 209.49
  4. Step 4: Simplify right side
    349.29x = 100,995.13
  5. Step 5: Solve for x
    x = 100,995.13/349.29
  6. Step 6: Final answer
    x = 289.14

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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.