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Finding the Fourth Proportional to 900.43, 1,351.46 and 380.81

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Solution

The fourth proportional to 900.43, 1,351.46 and 380.81 is: 571.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.43 : 1,351.46 = 380.81 : x
  2. Step 2: Convert to fraction form
    900.43/1,351.46 = 380.81/x
  3. Step 3: Cross multiply
    900.43x = 1,351.46 × 380.81
  4. Step 4: Simplify right side
    900.43x = 514,649.48
  5. Step 5: Solve for x
    x = 514,649.48/900.43
  6. Step 6: Final answer
    x = 571.56

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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.