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Finding the Fourth Proportional to 622.65, 933.86 and 232.56

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Solution

The fourth proportional to 622.65, 933.86 and 232.56 is: 348.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.65 : 933.86 = 232.56 : x
  2. Step 2: Convert to fraction form
    622.65/933.86 = 232.56/x
  3. Step 3: Cross multiply
    622.65x = 933.86 × 232.56
  4. Step 4: Simplify right side
    622.65x = 217,178.48
  5. Step 5: Solve for x
    x = 217,178.48/622.65
  6. Step 6: Final answer
    x = 348.80

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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.