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Finding the Fourth Proportional to 515.90, 774.01 and 207.66

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Solution

The fourth proportional to 515.90, 774.01 and 207.66 is: 311.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.90 : 774.01 = 207.66 : x
  2. Step 2: Convert to fraction form
    515.90/774.01 = 207.66/x
  3. Step 3: Cross multiply
    515.90x = 774.01 × 207.66
  4. Step 4: Simplify right side
    515.90x = 160,733.30
  5. Step 5: Solve for x
    x = 160,733.30/515.90
  6. Step 6: Final answer
    x = 311.56

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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.