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Finding the Fourth Proportional to 348.18, 480.24 and 230.04

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Solution

The fourth proportional to 348.18, 480.24 and 230.04 is: 317.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.18 : 480.24 = 230.04 : x
  2. Step 2: Convert to fraction form
    348.18/480.24 = 230.04/x
  3. Step 3: Cross multiply
    348.18x = 480.24 × 230.04
  4. Step 4: Simplify right side
    348.18x = 110,474.41
  5. Step 5: Solve for x
    x = 110,474.41/348.18
  6. Step 6: Final answer
    x = 317.29

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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.