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Finding the Fourth Proportional to 517.30, 776.04 and 209.14

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Solution

The fourth proportional to 517.30, 776.04 and 209.14 is: 313.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.30 : 776.04 = 209.14 : x
  2. Step 2: Convert to fraction form
    517.30/776.04 = 209.14/x
  3. Step 3: Cross multiply
    517.30x = 776.04 × 209.14
  4. Step 4: Simplify right side
    517.30x = 162,301.01
  5. Step 5: Solve for x
    x = 162,301.01/517.30
  6. Step 6: Final answer
    x = 313.75

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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.