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Finding the Fourth Proportional to 348.29, 480.86 and 224.16

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Solution

The fourth proportional to 348.29, 480.86 and 224.16 is: 309.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.29 : 480.86 = 224.16 : x
  2. Step 2: Convert to fraction form
    348.29/480.86 = 224.16/x
  3. Step 3: Cross multiply
    348.29x = 480.86 × 224.16
  4. Step 4: Simplify right side
    348.29x = 107,790.98
  5. Step 5: Solve for x
    x = 107,790.98/348.29
  6. Step 6: Final answer
    x = 309.49

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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.