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Finding the Fourth Proportional to 509.60, 764.80 and 235.73

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Solution

The fourth proportional to 509.60, 764.80 and 235.73 is: 353.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.60 : 764.80 = 235.73 : x
  2. Step 2: Convert to fraction form
    509.60/764.80 = 235.73/x
  3. Step 3: Cross multiply
    509.60x = 764.80 × 235.73
  4. Step 4: Simplify right side
    509.60x = 180,282.48
  5. Step 5: Solve for x
    x = 180,282.48/509.60
  6. Step 6: Final answer
    x = 353.77

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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.