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Finding the Fourth Proportional to 622.83, 933.61 and 232.48

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Solution

The fourth proportional to 622.83, 933.61 and 232.48 is: 348.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.83 : 933.61 = 232.48 : x
  2. Step 2: Convert to fraction form
    622.83/933.61 = 232.48/x
  3. Step 3: Cross multiply
    622.83x = 933.61 × 232.48
  4. Step 4: Simplify right side
    622.83x = 217,045.65
  5. Step 5: Solve for x
    x = 217,045.65/622.83
  6. Step 6: Final answer
    x = 348.48

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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.