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Finding the Fourth Proportional to 348.53, 480.96 and 208.71

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Solution

The fourth proportional to 348.53, 480.96 and 208.71 is: 288.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.53 : 480.96 = 208.71 : x
  2. Step 2: Convert to fraction form
    348.53/480.96 = 208.71/x
  3. Step 3: Cross multiply
    348.53x = 480.96 × 208.71
  4. Step 4: Simplify right side
    348.53x = 100,381.16
  5. Step 5: Solve for x
    x = 100,381.16/348.53
  6. Step 6: Final answer
    x = 288.02

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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.