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Finding the Fourth Proportional to 685.12, 944.94 and 423.22

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Solution

The fourth proportional to 685.12, 944.94 and 423.22 is: 583.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.12 : 944.94 = 423.22 : x
  2. Step 2: Convert to fraction form
    685.12/944.94 = 423.22/x
  3. Step 3: Cross multiply
    685.12x = 944.94 × 423.22
  4. Step 4: Simplify right side
    685.12x = 399,917.51
  5. Step 5: Solve for x
    x = 399,917.51/685.12
  6. Step 6: Final answer
    x = 583.72

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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.