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Finding the Fourth Proportional to 711.28, 1,066.72 and 300.41

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Solution

The fourth proportional to 711.28, 1,066.72 and 300.41 is: 450.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.28 : 1,066.72 = 300.41 : x
  2. Step 2: Convert to fraction form
    711.28/1,066.72 = 300.41/x
  3. Step 3: Cross multiply
    711.28x = 1,066.72 × 300.41
  4. Step 4: Simplify right side
    711.28x = 320,451.83
  5. Step 5: Solve for x
    x = 320,451.83/711.28
  6. Step 6: Final answer
    x = 450.53

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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.