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Finding the Fourth Proportional to 348.32, 480.24 and 285.92

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Solution

The fourth proportional to 348.32, 480.24 and 285.92 is: 394.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.32 : 480.24 = 285.92 : x
  2. Step 2: Convert to fraction form
    348.32/480.24 = 285.92/x
  3. Step 3: Cross multiply
    348.32x = 480.24 × 285.92
  4. Step 4: Simplify right side
    348.32x = 137,310.22
  5. Step 5: Solve for x
    x = 137,310.22/348.32
  6. Step 6: Final answer
    x = 394.21

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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.