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Finding the Fourth Proportional to 349.32, 482.01 and 209.42

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Solution

The fourth proportional to 349.32, 482.01 and 209.42 is: 288.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.32 : 482.01 = 209.42 : x
  2. Step 2: Convert to fraction form
    349.32/482.01 = 209.42/x
  3. Step 3: Cross multiply
    349.32x = 482.01 × 209.42
  4. Step 4: Simplify right side
    349.32x = 100,940.12
  5. Step 5: Solve for x
    x = 100,940.12/349.32
  6. Step 6: Final answer
    x = 288.96

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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.