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Finding the Fourth Proportional to 371.64, 512.78 and 253.70

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Solution

The fourth proportional to 371.64, 512.78 and 253.70 is: 350.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.64 : 512.78 = 253.70 : x
  2. Step 2: Convert to fraction form
    371.64/512.78 = 253.70/x
  3. Step 3: Cross multiply
    371.64x = 512.78 × 253.70
  4. Step 4: Simplify right side
    371.64x = 130,091.80
  5. Step 5: Solve for x
    x = 130,091.80/371.64
  6. Step 6: Final answer
    x = 350.05

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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.