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Finding the Fourth Proportional to 901.28, 1,351.86 and 284.97

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Solution

The fourth proportional to 901.28, 1,351.86 and 284.97 is: 427.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.28 : 1,351.86 = 284.97 : x
  2. Step 2: Convert to fraction form
    901.28/1,351.86 = 284.97/x
  3. Step 3: Cross multiply
    901.28x = 1,351.86 × 284.97
  4. Step 4: Simplify right side
    901.28x = 385,243.55
  5. Step 5: Solve for x
    x = 385,243.55/901.28
  6. Step 6: Final answer
    x = 427.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.