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Finding the Fourth Proportional to 517.64, 776.17 and 209.32

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Solution

The fourth proportional to 517.64, 776.17 and 209.32 is: 313.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.64 : 776.17 = 209.32 : x
  2. Step 2: Convert to fraction form
    517.64/776.17 = 209.32/x
  3. Step 3: Cross multiply
    517.64x = 776.17 × 209.32
  4. Step 4: Simplify right side
    517.64x = 162,471.38
  5. Step 5: Solve for x
    x = 162,471.38/517.64
  6. Step 6: Final answer
    x = 313.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.