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Finding the Fourth Proportional to 600.52, 828.96 and 453.19

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Solution

The fourth proportional to 600.52, 828.96 and 453.19 is: 625.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.52 : 828.96 = 453.19 : x
  2. Step 2: Convert to fraction form
    600.52/828.96 = 453.19/x
  3. Step 3: Cross multiply
    600.52x = 828.96 × 453.19
  4. Step 4: Simplify right side
    600.52x = 375,676.38
  5. Step 5: Solve for x
    x = 375,676.38/600.52
  6. Step 6: Final answer
    x = 625.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.