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Finding the Fourth Proportional to 513.16, 708.15 and 292.11

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Solution

The fourth proportional to 513.16, 708.15 and 292.11 is: 403.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.16 : 708.15 = 292.11 : x
  2. Step 2: Convert to fraction form
    513.16/708.15 = 292.11/x
  3. Step 3: Cross multiply
    513.16x = 708.15 × 292.11
  4. Step 4: Simplify right side
    513.16x = 206,857.70
  5. Step 5: Solve for x
    x = 206,857.70/513.16
  6. Step 6: Final answer
    x = 403.11

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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.