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Finding the Fourth Proportional to 349.40, 482.10 and 209.48

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Solution

The fourth proportional to 349.40, 482.10 and 209.48 is: 289.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.40 : 482.10 = 209.48 : x
  2. Step 2: Convert to fraction form
    349.40/482.10 = 209.48/x
  3. Step 3: Cross multiply
    349.40x = 482.10 × 209.48
  4. Step 4: Simplify right side
    349.40x = 100,990.31
  5. Step 5: Solve for x
    x = 100,990.31/349.40
  6. Step 6: Final answer
    x = 289.04

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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.