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Finding the Fourth Proportional to 509.25, 764.28 and 265.85

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Solution

The fourth proportional to 509.25, 764.28 and 265.85 is: 398.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.25 : 764.28 = 265.85 : x
  2. Step 2: Convert to fraction form
    509.25/764.28 = 265.85/x
  3. Step 3: Cross multiply
    509.25x = 764.28 × 265.85
  4. Step 4: Simplify right side
    509.25x = 203,180.02
  5. Step 5: Solve for x
    x = 203,180.02/509.25
  6. Step 6: Final answer
    x = 398.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.