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Finding the Fourth Proportional to 426.94, 589.22 and 261.19

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Solution

The fourth proportional to 426.94, 589.22 and 261.19 is: 360.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.94 : 589.22 = 261.19 : x
  2. Step 2: Convert to fraction form
    426.94/589.22 = 261.19/x
  3. Step 3: Cross multiply
    426.94x = 589.22 × 261.19
  4. Step 4: Simplify right side
    426.94x = 153,898.37
  5. Step 5: Solve for x
    x = 153,898.37/426.94
  6. Step 6: Final answer
    x = 360.47

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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.