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Finding the Fourth Proportional to 600.36, 896.67 and 490.92

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Solution

The fourth proportional to 600.36, 896.67 and 490.92 is: 733.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.36 : 896.67 = 490.92 : x
  2. Step 2: Convert to fraction form
    600.36/896.67 = 490.92/x
  3. Step 3: Cross multiply
    600.36x = 896.67 × 490.92
  4. Step 4: Simplify right side
    600.36x = 440,193.24
  5. Step 5: Solve for x
    x = 440,193.24/600.36
  6. Step 6: Final answer
    x = 733.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.