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Finding the Fourth Proportional to 622.29, 858.77 and 342.54

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Solution

The fourth proportional to 622.29, 858.77 and 342.54 is: 472.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.29 : 858.77 = 342.54 : x
  2. Step 2: Convert to fraction form
    622.29/858.77 = 342.54/x
  3. Step 3: Cross multiply
    622.29x = 858.77 × 342.54
  4. Step 4: Simplify right side
    622.29x = 294,163.08
  5. Step 5: Solve for x
    x = 294,163.08/622.29
  6. Step 6: Final answer
    x = 472.71

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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.