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Finding the Fourth Proportional to 600.96, 828.24 and 453.24

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Solution

The fourth proportional to 600.96, 828.24 and 453.24 is: 624.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.96 : 828.24 = 453.24 : x
  2. Step 2: Convert to fraction form
    600.96/828.24 = 453.24/x
  3. Step 3: Cross multiply
    600.96x = 828.24 × 453.24
  4. Step 4: Simplify right side
    600.96x = 375,391.50
  5. Step 5: Solve for x
    x = 375,391.50/600.96
  6. Step 6: Final answer
    x = 624.65

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