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Finding the Fourth Proportional to 600.94, 901.75 and 254.23

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Solution

The fourth proportional to 600.94, 901.75 and 254.23 is: 381.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.94 : 901.75 = 254.23 : x
  2. Step 2: Convert to fraction form
    600.94/901.75 = 254.23/x
  3. Step 3: Cross multiply
    600.94x = 901.75 × 254.23
  4. Step 4: Simplify right side
    600.94x = 229,251.90
  5. Step 5: Solve for x
    x = 229,251.90/600.94
  6. Step 6: Final answer
    x = 381.49

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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.