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Finding the Fourth Proportional to 348.24, 480.78 and 224.10

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Solution

The fourth proportional to 348.24, 480.78 and 224.10 is: 309.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.24 : 480.78 = 224.10 : x
  2. Step 2: Convert to fraction form
    348.24/480.78 = 224.10/x
  3. Step 3: Cross multiply
    348.24x = 480.78 × 224.10
  4. Step 4: Simplify right side
    348.24x = 107,742.80
  5. Step 5: Solve for x
    x = 107,742.80/348.24
  6. Step 6: Final answer
    x = 309.39

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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.