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Finding the Fourth Proportional to 517.80, 776.10 and 209.45

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Solution

The fourth proportional to 517.80, 776.10 and 209.45 is: 313.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.80 : 776.10 = 209.45 : x
  2. Step 2: Convert to fraction form
    517.80/776.10 = 209.45/x
  3. Step 3: Cross multiply
    517.80x = 776.10 × 209.45
  4. Step 4: Simplify right side
    517.80x = 162,554.15
  5. Step 5: Solve for x
    x = 162,554.15/517.80
  6. Step 6: Final answer
    x = 313.93

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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.