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Finding the Fourth Proportional to 371.26, 552.96 and 351.74

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Solution

The fourth proportional to 371.26, 552.96 and 351.74 is: 523.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.26 : 552.96 = 351.74 : x
  2. Step 2: Convert to fraction form
    371.26/552.96 = 351.74/x
  3. Step 3: Cross multiply
    371.26x = 552.96 × 351.74
  4. Step 4: Simplify right side
    371.26x = 194,498.15
  5. Step 5: Solve for x
    x = 194,498.15/371.26
  6. Step 6: Final answer
    x = 523.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.