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Finding the Fourth Proportional to 454.53, 627.14 and 268.01

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Solution

The fourth proportional to 454.53, 627.14 and 268.01 is: 369.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.53 : 627.14 = 268.01 : x
  2. Step 2: Convert to fraction form
    454.53/627.14 = 268.01/x
  3. Step 3: Cross multiply
    454.53x = 627.14 × 268.01
  4. Step 4: Simplify right side
    454.53x = 168,076.66
  5. Step 5: Solve for x
    x = 168,076.66/454.53
  6. Step 6: Final answer
    x = 369.78

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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.