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Finding the Fourth Proportional to 600.02, 828.27 and 452.69

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Solution

The fourth proportional to 600.02, 828.27 and 452.69 is: 624.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.02 : 828.27 = 452.69 : x
  2. Step 2: Convert to fraction form
    600.02/828.27 = 452.69/x
  3. Step 3: Cross multiply
    600.02x = 828.27 × 452.69
  4. Step 4: Simplify right side
    600.02x = 374,949.55
  5. Step 5: Solve for x
    x = 374,949.55/600.02
  6. Step 6: Final answer
    x = 624.90

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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.