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Finding the Fourth Proportional to 335.70, 462.69 and 280.26

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Solution

The fourth proportional to 335.70, 462.69 and 280.26 is: 386.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.70 : 462.69 = 280.26 : x
  2. Step 2: Convert to fraction form
    335.70/462.69 = 280.26/x
  3. Step 3: Cross multiply
    335.70x = 462.69 × 280.26
  4. Step 4: Simplify right side
    335.70x = 129,673.50
  5. Step 5: Solve for x
    x = 129,673.50/335.70
  6. Step 6: Final answer
    x = 386.28

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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.