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Finding the Fourth Proportional to 371.43, 512.60 and 205.65

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Solution

The fourth proportional to 371.43, 512.60 and 205.65 is: 283.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.43 : 512.60 = 205.65 : x
  2. Step 2: Convert to fraction form
    371.43/512.60 = 205.65/x
  3. Step 3: Cross multiply
    371.43x = 512.60 × 205.65
  4. Step 4: Simplify right side
    371.43x = 105,417.99
  5. Step 5: Solve for x
    x = 105,417.99/371.43
  6. Step 6: Final answer
    x = 283.81

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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.