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Finding the Fourth Proportional to 513.45, 708.56 and 280.57

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Solution

The fourth proportional to 513.45, 708.56 and 280.57 is: 387.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.45 : 708.56 = 280.57 : x
  2. Step 2: Convert to fraction form
    513.45/708.56 = 280.57/x
  3. Step 3: Cross multiply
    513.45x = 708.56 × 280.57
  4. Step 4: Simplify right side
    513.45x = 198,800.68
  5. Step 5: Solve for x
    x = 198,800.68/513.45
  6. Step 6: Final answer
    x = 387.19

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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.