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Finding the Fourth Proportional to 935.97, 1,402.40 and 415.19

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Solution

The fourth proportional to 935.97, 1,402.40 and 415.19 is: 622.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.97 : 1,402.40 = 415.19 : x
  2. Step 2: Convert to fraction form
    935.97/1,402.40 = 415.19/x
  3. Step 3: Cross multiply
    935.97x = 1,402.40 × 415.19
  4. Step 4: Simplify right side
    935.97x = 582,255.44
  5. Step 5: Solve for x
    x = 582,255.44/935.97
  6. Step 6: Final answer
    x = 622.09

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Why These Related Problems?

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