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Finding the Fourth Proportional to 349.24, 482 and 209.39

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Solution

The fourth proportional to 349.24, 482 and 209.39 is: 288.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.24 : 482 = 209.39 : x
  2. Step 2: Convert to fraction form
    349.24/482 = 209.39/x
  3. Step 3: Cross multiply
    349.24x = 482 × 209.39
  4. Step 4: Simplify right side
    349.24x = 100,925.98
  5. Step 5: Solve for x
    x = 100,925.98/349.24
  6. Step 6: Final answer
    x = 288.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.