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Finding the Fourth Proportional to 600.92, 901.62 and 326.69

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Solution

The fourth proportional to 600.92, 901.62 and 326.69 is: 490.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.92 : 901.62 = 326.69 : x
  2. Step 2: Convert to fraction form
    600.92/901.62 = 326.69/x
  3. Step 3: Cross multiply
    600.92x = 901.62 × 326.69
  4. Step 4: Simplify right side
    600.92x = 294,550.24
  5. Step 5: Solve for x
    x = 294,550.24/600.92
  6. Step 6: Final answer
    x = 490.17

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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.