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Finding the Fourth Proportional to 348.96, 480.24 and 271.20

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Solution

The fourth proportional to 348.96, 480.24 and 271.20 is: 373.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.96 : 480.24 = 271.20 : x
  2. Step 2: Convert to fraction form
    348.96/480.24 = 271.20/x
  3. Step 3: Cross multiply
    348.96x = 480.24 × 271.20
  4. Step 4: Simplify right side
    348.96x = 130,241.09
  5. Step 5: Solve for x
    x = 130,241.09/348.96
  6. Step 6: Final answer
    x = 373.23

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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.