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Finding the Fourth Proportional to 450.32, 670.86 and 422.38

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Solution

The fourth proportional to 450.32, 670.86 and 422.38 is: 629.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.32 : 670.86 = 422.38 : x
  2. Step 2: Convert to fraction form
    450.32/670.86 = 422.38/x
  3. Step 3: Cross multiply
    450.32x = 670.86 × 422.38
  4. Step 4: Simplify right side
    450.32x = 283,357.85
  5. Step 5: Solve for x
    x = 283,357.85/450.32
  6. Step 6: Final answer
    x = 629.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.