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Finding the Fourth Proportional to 613.11, 917.66 and 382.21

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Solution

The fourth proportional to 613.11, 917.66 and 382.21 is: 572.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.11 : 917.66 = 382.21 : x
  2. Step 2: Convert to fraction form
    613.11/917.66 = 382.21/x
  3. Step 3: Cross multiply
    613.11x = 917.66 × 382.21
  4. Step 4: Simplify right side
    613.11x = 350,738.83
  5. Step 5: Solve for x
    x = 350,738.83/613.11
  6. Step 6: Final answer
    x = 572.07

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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.