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Finding the Fourth Proportional to 622.33, 858.80 and 338.74

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Solution

The fourth proportional to 622.33, 858.80 and 338.74 is: 467.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.33 : 858.80 = 338.74 : x
  2. Step 2: Convert to fraction form
    622.33/858.80 = 338.74/x
  3. Step 3: Cross multiply
    622.33x = 858.80 × 338.74
  4. Step 4: Simplify right side
    622.33x = 290,908.09
  5. Step 5: Solve for x
    x = 290,908.09/622.33
  6. Step 6: Final answer
    x = 467.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.