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Finding the Fourth Proportional to 509.85, 764.67 and 266.25

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Solution

The fourth proportional to 509.85, 764.67 and 266.25 is: 399.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.85 : 764.67 = 266.25 : x
  2. Step 2: Convert to fraction form
    509.85/764.67 = 266.25/x
  3. Step 3: Cross multiply
    509.85x = 764.67 × 266.25
  4. Step 4: Simplify right side
    509.85x = 203,593.39
  5. Step 5: Solve for x
    x = 203,593.39/509.85
  6. Step 6: Final answer
    x = 399.32

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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.