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Finding the Fourth Proportional to 600.52, 897.27 and 443.68

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Solution

The fourth proportional to 600.52, 897.27 and 443.68 is: 662.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.52 : 897.27 = 443.68 : x
  2. Step 2: Convert to fraction form
    600.52/897.27 = 443.68/x
  3. Step 3: Cross multiply
    600.52x = 897.27 × 443.68
  4. Step 4: Simplify right side
    600.52x = 398,100.75
  5. Step 5: Solve for x
    x = 398,100.75/600.52
  6. Step 6: Final answer
    x = 662.93

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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.