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Finding the Fourth Proportional to 348.11, 480.29 and 206.29

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Solution

The fourth proportional to 348.11, 480.29 and 206.29 is: 284.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.11 : 480.29 = 206.29 : x
  2. Step 2: Convert to fraction form
    348.11/480.29 = 206.29/x
  3. Step 3: Cross multiply
    348.11x = 480.29 × 206.29
  4. Step 4: Simplify right side
    348.11x = 99,079.02
  5. Step 5: Solve for x
    x = 99,079.02/348.11
  6. Step 6: Final answer
    x = 284.62

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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.