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Finding the Fourth Proportional to 622.94, 859.63 and 343.19

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Solution

The fourth proportional to 622.94, 859.63 and 343.19 is: 473.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.94 : 859.63 = 343.19 : x
  2. Step 2: Convert to fraction form
    622.94/859.63 = 343.19/x
  3. Step 3: Cross multiply
    622.94x = 859.63 × 343.19
  4. Step 4: Simplify right side
    622.94x = 295,017.71
  5. Step 5: Solve for x
    x = 295,017.71/622.94
  6. Step 6: Final answer
    x = 473.59

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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.