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Finding the Fourth Proportional to 427.59, 589.69 and 280.27

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Solution

The fourth proportional to 427.59, 589.69 and 280.27 is: 386.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.59 : 589.69 = 280.27 : x
  2. Step 2: Convert to fraction form
    427.59/589.69 = 280.27/x
  3. Step 3: Cross multiply
    427.59x = 589.69 × 280.27
  4. Step 4: Simplify right side
    427.59x = 165,272.42
  5. Step 5: Solve for x
    x = 165,272.42/427.59
  6. Step 6: Final answer
    x = 386.52

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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.