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Finding the Fourth Proportional to 427.69, 589.87 and 280.29

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Solution

The fourth proportional to 427.69, 589.87 and 280.29 is: 386.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.69 : 589.87 = 280.29 : x
  2. Step 2: Convert to fraction form
    427.69/589.87 = 280.29/x
  3. Step 3: Cross multiply
    427.69x = 589.87 × 280.29
  4. Step 4: Simplify right side
    427.69x = 165,334.66
  5. Step 5: Solve for x
    x = 165,334.66/427.69
  6. Step 6: Final answer
    x = 386.58

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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.