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Finding the Fourth Proportional to 913.94, 1,371.06 and 289.28

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Solution

The fourth proportional to 913.94, 1,371.06 and 289.28 is: 433.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.94 : 1,371.06 = 289.28 : x
  2. Step 2: Convert to fraction form
    913.94/1,371.06 = 289.28/x
  3. Step 3: Cross multiply
    913.94x = 1,371.06 × 289.28
  4. Step 4: Simplify right side
    913.94x = 396,620.24
  5. Step 5: Solve for x
    x = 396,620.24/913.94
  6. Step 6: Final answer
    x = 433.97

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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.