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Finding the Fourth Proportional to 349.76, 482.83 and 209.90

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Solution

The fourth proportional to 349.76, 482.83 and 209.90 is: 289.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.76 : 482.83 = 209.90 : x
  2. Step 2: Convert to fraction form
    349.76/482.83 = 209.90/x
  3. Step 3: Cross multiply
    349.76x = 482.83 × 209.90
  4. Step 4: Simplify right side
    349.76x = 101,346.70
  5. Step 5: Solve for x
    x = 101,346.70/349.76
  6. Step 6: Final answer
    x = 289.76

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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.