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Finding the Fourth Proportional to 348.39, 480.72 and 224.07

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Solution

The fourth proportional to 348.39, 480.72 and 224.07 is: 309.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.39 : 480.72 = 224.07 : x
  2. Step 2: Convert to fraction form
    348.39/480.72 = 224.07/x
  3. Step 3: Cross multiply
    348.39x = 480.72 × 224.07
  4. Step 4: Simplify right side
    348.39x = 107,714.93
  5. Step 5: Solve for x
    x = 107,714.93/348.39
  6. Step 6: Final answer
    x = 309.18

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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.