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Finding the Fourth Proportional to 513.18, 708.19 and 286.05

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Solution

The fourth proportional to 513.18, 708.19 and 286.05 is: 394.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.18 : 708.19 = 286.05 : x
  2. Step 2: Convert to fraction form
    513.18/708.19 = 286.05/x
  3. Step 3: Cross multiply
    513.18x = 708.19 × 286.05
  4. Step 4: Simplify right side
    513.18x = 202,577.75
  5. Step 5: Solve for x
    x = 202,577.75/513.18
  6. Step 6: Final answer
    x = 394.75

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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.