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Finding the Fourth Proportional to 517.34, 776.07 and 209.16

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Solution

The fourth proportional to 517.34, 776.07 and 209.16 is: 313.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.34 : 776.07 = 209.16 : x
  2. Step 2: Convert to fraction form
    517.34/776.07 = 209.16/x
  3. Step 3: Cross multiply
    517.34x = 776.07 × 209.16
  4. Step 4: Simplify right side
    517.34x = 162,322.80
  5. Step 5: Solve for x
    x = 162,322.80/517.34
  6. Step 6: Final answer
    x = 313.76

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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.