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Finding the Fourth Proportional to 509.08, 762.99 and 234.79

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Solution

The fourth proportional to 509.08, 762.99 and 234.79 is: 351.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.08 : 762.99 = 234.79 : x
  2. Step 2: Convert to fraction form
    509.08/762.99 = 234.79/x
  3. Step 3: Cross multiply
    509.08x = 762.99 × 234.79
  4. Step 4: Simplify right side
    509.08x = 179,142.42
  5. Step 5: Solve for x
    x = 179,142.42/509.08
  6. Step 6: Final answer
    x = 351.89

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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.