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Finding the Fourth Proportional to 371.28, 511.74 and 283.80

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Solution

The fourth proportional to 371.28, 511.74 and 283.80 is: 391.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.28 : 511.74 = 283.80 : x
  2. Step 2: Convert to fraction form
    371.28/511.74 = 283.80/x
  3. Step 3: Cross multiply
    371.28x = 511.74 × 283.80
  4. Step 4: Simplify right side
    371.28x = 145,231.81
  5. Step 5: Solve for x
    x = 145,231.81/371.28
  6. Step 6: Final answer
    x = 391.17

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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.