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Finding the Fourth Proportional to 371.05, 512.25 and 253.19

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Solution

The fourth proportional to 371.05, 512.25 and 253.19 is: 349.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.05 : 512.25 = 253.19 : x
  2. Step 2: Convert to fraction form
    371.05/512.25 = 253.19/x
  3. Step 3: Cross multiply
    371.05x = 512.25 × 253.19
  4. Step 4: Simplify right side
    371.05x = 129,698.43
  5. Step 5: Solve for x
    x = 129,698.43/371.05
  6. Step 6: Final answer
    x = 349.55

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Why These Related Problems?

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