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Finding the Fourth Proportional to 600.32, 896.23 and 513.68

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Solution

The fourth proportional to 600.32, 896.23 and 513.68 is: 766.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.32 : 896.23 = 513.68 : x
  2. Step 2: Convert to fraction form
    600.32/896.23 = 513.68/x
  3. Step 3: Cross multiply
    600.32x = 896.23 × 513.68
  4. Step 4: Simplify right side
    600.32x = 460,375.43
  5. Step 5: Solve for x
    x = 460,375.43/600.32
  6. Step 6: Final answer
    x = 766.88

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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.