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Finding the Fourth Proportional to 348.99, 481.62 and 209.13

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Solution

The fourth proportional to 348.99, 481.62 and 209.13 is: 288.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.99 : 481.62 = 209.13 : x
  2. Step 2: Convert to fraction form
    348.99/481.62 = 209.13/x
  3. Step 3: Cross multiply
    348.99x = 481.62 × 209.13
  4. Step 4: Simplify right side
    348.99x = 100,717.74
  5. Step 5: Solve for x
    x = 100,717.74/348.99
  6. Step 6: Final answer
    x = 288.60

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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.