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Finding the Fourth Proportional to 600.91, 901.92 and 327.22

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Solution

The fourth proportional to 600.91, 901.92 and 327.22 is: 491.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.91 : 901.92 = 327.22 : x
  2. Step 2: Convert to fraction form
    600.91/901.92 = 327.22/x
  3. Step 3: Cross multiply
    600.91x = 901.92 × 327.22
  4. Step 4: Simplify right side
    600.91x = 295,126.26
  5. Step 5: Solve for x
    x = 295,126.26/600.91
  6. Step 6: Final answer
    x = 491.13

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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.