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Finding the Fourth Proportional to 371.64, 512.80 and 224.26

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Solution

The fourth proportional to 371.64, 512.80 and 224.26 is: 309.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.64 : 512.80 = 224.26 : x
  2. Step 2: Convert to fraction form
    371.64/512.80 = 224.26/x
  3. Step 3: Cross multiply
    371.64x = 512.80 × 224.26
  4. Step 4: Simplify right side
    371.64x = 115,000.53
  5. Step 5: Solve for x
    x = 115,000.53/371.64
  6. Step 6: Final answer
    x = 309.44

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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.