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Finding the Fourth Proportional to 509.46, 764.08 and 235.41

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Solution

The fourth proportional to 509.46, 764.08 and 235.41 is: 353.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.46 : 764.08 = 235.41 : x
  2. Step 2: Convert to fraction form
    509.46/764.08 = 235.41/x
  3. Step 3: Cross multiply
    509.46x = 764.08 × 235.41
  4. Step 4: Simplify right side
    509.46x = 179,869.94
  5. Step 5: Solve for x
    x = 179,869.94/509.46
  6. Step 6: Final answer
    x = 353.06

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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.