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Finding the Fourth Proportional to 509.79, 764.19 and 266.34

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Solution

The fourth proportional to 509.79, 764.19 and 266.34 is: 399.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.79 : 764.19 = 266.34 : x
  2. Step 2: Convert to fraction form
    509.79/764.19 = 266.34/x
  3. Step 3: Cross multiply
    509.79x = 764.19 × 266.34
  4. Step 4: Simplify right side
    509.79x = 203,534.36
  5. Step 5: Solve for x
    x = 203,534.36/509.79
  6. Step 6: Final answer
    x = 399.25

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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.