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Finding the Fourth Proportional to 382.40, 574.61 and 357.79

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Solution

The fourth proportional to 382.40, 574.61 and 357.79 is: 537.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.40 : 574.61 = 357.79 : x
  2. Step 2: Convert to fraction form
    382.40/574.61 = 357.79/x
  3. Step 3: Cross multiply
    382.40x = 574.61 × 357.79
  4. Step 4: Simplify right side
    382.40x = 205,589.71
  5. Step 5: Solve for x
    x = 205,589.71/382.40
  6. Step 6: Final answer
    x = 537.63

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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.