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Finding the Fourth Proportional to 622.89, 935.87 and 392.24

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Solution

The fourth proportional to 622.89, 935.87 and 392.24 is: 589.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.89 : 935.87 = 392.24 : x
  2. Step 2: Convert to fraction form
    622.89/935.87 = 392.24/x
  3. Step 3: Cross multiply
    622.89x = 935.87 × 392.24
  4. Step 4: Simplify right side
    622.89x = 367,086.03
  5. Step 5: Solve for x
    x = 367,086.03/622.89
  6. Step 6: Final answer
    x = 589.33

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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.