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Finding the Fourth Proportional to 454.56, 627.42 and 361.46

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Solution

The fourth proportional to 454.56, 627.42 and 361.46 is: 498.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.56 : 627.42 = 361.46 : x
  2. Step 2: Convert to fraction form
    454.56/627.42 = 361.46/x
  3. Step 3: Cross multiply
    454.56x = 627.42 × 361.46
  4. Step 4: Simplify right side
    454.56x = 226,787.23
  5. Step 5: Solve for x
    x = 226,787.23/454.56
  6. Step 6: Final answer
    x = 498.92

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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.