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Finding the Fourth Proportional to 622.40, 932.99 and 232.11

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Solution

The fourth proportional to 622.40, 932.99 and 232.11 is: 347.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.40 : 932.99 = 232.11 : x
  2. Step 2: Convert to fraction form
    622.40/932.99 = 232.11/x
  3. Step 3: Cross multiply
    622.40x = 932.99 × 232.11
  4. Step 4: Simplify right side
    622.40x = 216,555.15
  5. Step 5: Solve for x
    x = 216,555.15/622.40
  6. Step 6: Final answer
    x = 347.94

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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.