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Finding the Fourth Proportional to 371.86, 512.60 and 261.02

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Solution

The fourth proportional to 371.86, 512.60 and 261.02 is: 359.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.86 : 512.60 = 261.02 : x
  2. Step 2: Convert to fraction form
    371.86/512.60 = 261.02/x
  3. Step 3: Cross multiply
    371.86x = 512.60 × 261.02
  4. Step 4: Simplify right side
    371.86x = 133,798.83
  5. Step 5: Solve for x
    x = 133,798.83/371.86
  6. Step 6: Final answer
    x = 359.81

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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.