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Finding the Fourth Proportional to 422.42, 633.18 and 276.24

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Solution

The fourth proportional to 422.42, 633.18 and 276.24 is: 414.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.42 : 633.18 = 276.24 : x
  2. Step 2: Convert to fraction form
    422.42/633.18 = 276.24/x
  3. Step 3: Cross multiply
    422.42x = 633.18 × 276.24
  4. Step 4: Simplify right side
    422.42x = 174,913.05
  5. Step 5: Solve for x
    x = 174,913.05/422.42
  6. Step 6: Final answer
    x = 414.08

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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.