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Finding the Fourth Proportional to 427.68, 589.98 and 280.36

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Solution

The fourth proportional to 427.68, 589.98 and 280.36 is: 386.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.68 : 589.98 = 280.36 : x
  2. Step 2: Convert to fraction form
    427.68/589.98 = 280.36/x
  3. Step 3: Cross multiply
    427.68x = 589.98 × 280.36
  4. Step 4: Simplify right side
    427.68x = 165,408.58
  5. Step 5: Solve for x
    x = 165,408.58/427.68
  6. Step 6: Final answer
    x = 386.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.