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Finding the Fourth Proportional to 452.78, 627.69 and 428.14

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Solution

The fourth proportional to 452.78, 627.69 and 428.14 is: 593.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.78 : 627.69 = 428.14 : x
  2. Step 2: Convert to fraction form
    452.78/627.69 = 428.14/x
  3. Step 3: Cross multiply
    452.78x = 627.69 × 428.14
  4. Step 4: Simplify right side
    452.78x = 268,739.20
  5. Step 5: Solve for x
    x = 268,739.20/452.78
  6. Step 6: Final answer
    x = 593.53

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.