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Finding the Fourth Proportional to 440.68, 661.32 and 330.76

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Solution

The fourth proportional to 440.68, 661.32 and 330.76 is: 496.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.68 : 661.32 = 330.76 : x
  2. Step 2: Convert to fraction form
    440.68/661.32 = 330.76/x
  3. Step 3: Cross multiply
    440.68x = 661.32 × 330.76
  4. Step 4: Simplify right side
    440.68x = 218,738.20
  5. Step 5: Solve for x
    x = 218,738.20/440.68
  6. Step 6: Final answer
    x = 496.37

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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.