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Finding the Fourth Proportional to 622.97, 859.70 and 343.19

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Solution

The fourth proportional to 622.97, 859.70 and 343.19 is: 473.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.97 : 859.70 = 343.19 : x
  2. Step 2: Convert to fraction form
    622.97/859.70 = 343.19/x
  3. Step 3: Cross multiply
    622.97x = 859.70 × 343.19
  4. Step 4: Simplify right side
    622.97x = 295,034.43
  5. Step 5: Solve for x
    x = 295,034.43/622.97
  6. Step 6: Final answer
    x = 473.60

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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.