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Finding the Fourth Proportional to 415.71, 622.84 and 293.71

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Solution

The fourth proportional to 415.71, 622.84 and 293.71 is: 440.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.71 : 622.84 = 293.71 : x
  2. Step 2: Convert to fraction form
    415.71/622.84 = 293.71/x
  3. Step 3: Cross multiply
    415.71x = 622.84 × 293.71
  4. Step 4: Simplify right side
    415.71x = 182,934.34
  5. Step 5: Solve for x
    x = 182,934.34/415.71
  6. Step 6: Final answer
    x = 440.05

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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.