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Finding the Fourth Proportional to 382.66, 573.38 and 305.60

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Solution

The fourth proportional to 382.66, 573.38 and 305.60 is: 457.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.66 : 573.38 = 305.60 : x
  2. Step 2: Convert to fraction form
    382.66/573.38 = 305.60/x
  3. Step 3: Cross multiply
    382.66x = 573.38 × 305.60
  4. Step 4: Simplify right side
    382.66x = 175,221.68
  5. Step 5: Solve for x
    x = 175,221.68/382.66
  6. Step 6: Final answer
    x = 457.91

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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.