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Finding the Fourth Proportional to 427.27, 589.51 and 261.42

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Solution

The fourth proportional to 427.27, 589.51 and 261.42 is: 360.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.27 : 589.51 = 261.42 : x
  2. Step 2: Convert to fraction form
    427.27/589.51 = 261.42/x
  3. Step 3: Cross multiply
    427.27x = 589.51 × 261.42
  4. Step 4: Simplify right side
    427.27x = 154,109.70
  5. Step 5: Solve for x
    x = 154,109.70/427.27
  6. Step 6: Final answer
    x = 360.68

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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.