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Finding the Fourth Proportional to 415.42, 622.12 and 293.11

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Solution

The fourth proportional to 415.42, 622.12 and 293.11 is: 438.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.42 : 622.12 = 293.11 : x
  2. Step 2: Convert to fraction form
    415.42/622.12 = 293.11/x
  3. Step 3: Cross multiply
    415.42x = 622.12 × 293.11
  4. Step 4: Simplify right side
    415.42x = 182,348.86
  5. Step 5: Solve for x
    x = 182,348.86/415.42
  6. Step 6: Final answer
    x = 438.95

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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.