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Finding the Fourth Proportional to 348.52, 480.80 and 224.13

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Solution

The fourth proportional to 348.52, 480.80 and 224.13 is: 309.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.52 : 480.80 = 224.13 : x
  2. Step 2: Convert to fraction form
    348.52/480.80 = 224.13/x
  3. Step 3: Cross multiply
    348.52x = 480.80 × 224.13
  4. Step 4: Simplify right side
    348.52x = 107,762.39
  5. Step 5: Solve for x
    x = 107,762.39/348.52
  6. Step 6: Final answer
    x = 309.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.