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Finding the Fourth Proportional to 620.28, 931.05 and 416.27

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Solution

The fourth proportional to 620.28, 931.05 and 416.27 is: 624.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.28 : 931.05 = 416.27 : x
  2. Step 2: Convert to fraction form
    620.28/931.05 = 416.27/x
  3. Step 3: Cross multiply
    620.28x = 931.05 × 416.27
  4. Step 4: Simplify right side
    620.28x = 387,568.18
  5. Step 5: Solve for x
    x = 387,568.18/620.28
  6. Step 6: Final answer
    x = 624.83

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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.