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Finding the Fourth Proportional to 348.36, 480.32 and 285.96

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Solution

The fourth proportional to 348.36, 480.32 and 285.96 is: 394.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.36 : 480.32 = 285.96 : x
  2. Step 2: Convert to fraction form
    348.36/480.32 = 285.96/x
  3. Step 3: Cross multiply
    348.36x = 480.32 × 285.96
  4. Step 4: Simplify right side
    348.36x = 137,352.31
  5. Step 5: Solve for x
    x = 137,352.31/348.36
  6. Step 6: Final answer
    x = 394.28

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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.