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Finding the Fourth Proportional to 517.32, 776.22 and 209.78

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Solution

The fourth proportional to 517.32, 776.22 and 209.78 is: 314.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.32 : 776.22 = 209.78 : x
  2. Step 2: Convert to fraction form
    517.32/776.22 = 209.78/x
  3. Step 3: Cross multiply
    517.32x = 776.22 × 209.78
  4. Step 4: Simplify right side
    517.32x = 162,835.43
  5. Step 5: Solve for x
    x = 162,835.43/517.32
  6. Step 6: Final answer
    x = 314.77

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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.