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Finding the Fourth Proportional to 349.62, 482.46 and 209.74

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Solution

The fourth proportional to 349.62, 482.46 and 209.74 is: 289.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.62 : 482.46 = 209.74 : x
  2. Step 2: Convert to fraction form
    349.62/482.46 = 209.74/x
  3. Step 3: Cross multiply
    349.62x = 482.46 × 209.74
  4. Step 4: Simplify right side
    349.62x = 101,191.16
  5. Step 5: Solve for x
    x = 101,191.16/349.62
  6. Step 6: Final answer
    x = 289.43

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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.