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Finding the Fourth Proportional to 509.88, 764.37 and 266.61

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Solution

The fourth proportional to 509.88, 764.37 and 266.61 is: 399.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.88 : 764.37 = 266.61 : x
  2. Step 2: Convert to fraction form
    509.88/764.37 = 266.61/x
  3. Step 3: Cross multiply
    509.88x = 764.37 × 266.61
  4. Step 4: Simplify right side
    509.88x = 203,788.69
  5. Step 5: Solve for x
    x = 203,788.69/509.88
  6. Step 6: Final answer
    x = 399.68

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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.