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Finding the Fourth Proportional to 600.77, 901.76 and 381.66

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Solution

The fourth proportional to 600.77, 901.76 and 381.66 is: 572.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.77 : 901.76 = 381.66 : x
  2. Step 2: Convert to fraction form
    600.77/901.76 = 381.66/x
  3. Step 3: Cross multiply
    600.77x = 901.76 × 381.66
  4. Step 4: Simplify right side
    600.77x = 344,163.81
  5. Step 5: Solve for x
    x = 344,163.81/600.77
  6. Step 6: Final answer
    x = 572.88

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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.