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Finding the Fourth Proportional to 517.29, 775.47 and 208.98

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Solution

The fourth proportional to 517.29, 775.47 and 208.98 is: 313.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.29 : 775.47 = 208.98 : x
  2. Step 2: Convert to fraction form
    517.29/775.47 = 208.98/x
  3. Step 3: Cross multiply
    517.29x = 775.47 × 208.98
  4. Step 4: Simplify right side
    517.29x = 162,058.50
  5. Step 5: Solve for x
    x = 162,058.50/517.29
  6. Step 6: Final answer
    x = 313.29

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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.