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Finding the Fourth Proportional to 371.12, 557.88 and 344.40

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Solution

The fourth proportional to 371.12, 557.88 and 344.40 is: 517.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.12 : 557.88 = 344.40 : x
  2. Step 2: Convert to fraction form
    371.12/557.88 = 344.40/x
  3. Step 3: Cross multiply
    371.12x = 557.88 × 344.40
  4. Step 4: Simplify right side
    371.12x = 192,133.87
  5. Step 5: Solve for x
    x = 192,133.87/371.12
  6. Step 6: Final answer
    x = 517.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.