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Finding the Fourth Proportional to 451.14, 678.24 and 422.58

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Solution

The fourth proportional to 451.14, 678.24 and 422.58 is: 635.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.14 : 678.24 = 422.58 : x
  2. Step 2: Convert to fraction form
    451.14/678.24 = 422.58/x
  3. Step 3: Cross multiply
    451.14x = 678.24 × 422.58
  4. Step 4: Simplify right side
    451.14x = 286,610.66
  5. Step 5: Solve for x
    x = 286,610.66/451.14
  6. Step 6: Final answer
    x = 635.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.