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Finding the Fourth Proportional to 371.76, 513.10 and 224.47

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Solution

The fourth proportional to 371.76, 513.10 and 224.47 is: 309.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.76 : 513.10 = 224.47 : x
  2. Step 2: Convert to fraction form
    371.76/513.10 = 224.47/x
  3. Step 3: Cross multiply
    371.76x = 513.10 × 224.47
  4. Step 4: Simplify right side
    371.76x = 115,176.48
  5. Step 5: Solve for x
    x = 115,176.48/371.76
  6. Step 6: Final answer
    x = 309.82

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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.