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Finding the Fourth Proportional to 517.67, 776.66 and 209.46

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Solution

The fourth proportional to 517.67, 776.66 and 209.46 is: 314.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.67 : 776.66 = 209.46 : x
  2. Step 2: Convert to fraction form
    517.67/776.66 = 209.46/x
  3. Step 3: Cross multiply
    517.67x = 776.66 × 209.46
  4. Step 4: Simplify right side
    517.67x = 162,678.16
  5. Step 5: Solve for x
    x = 162,678.16/517.67
  6. Step 6: Final answer
    x = 314.25

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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.