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Finding the Fourth Proportional to 513.23, 708.26 and 280.35

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Solution

The fourth proportional to 513.23, 708.26 and 280.35 is: 386.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.23 : 708.26 = 280.35 : x
  2. Step 2: Convert to fraction form
    513.23/708.26 = 280.35/x
  3. Step 3: Cross multiply
    513.23x = 708.26 × 280.35
  4. Step 4: Simplify right side
    513.23x = 198,560.69
  5. Step 5: Solve for x
    x = 198,560.69/513.23
  6. Step 6: Final answer
    x = 386.88

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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.