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Finding the Fourth Proportional to 393.90, 590.84 and 382.02

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Solution

The fourth proportional to 393.90, 590.84 and 382.02 is: 573.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.90 : 590.84 = 382.02 : x
  2. Step 2: Convert to fraction form
    393.90/590.84 = 382.02/x
  3. Step 3: Cross multiply
    393.90x = 590.84 × 382.02
  4. Step 4: Simplify right side
    393.90x = 225,712.70
  5. Step 5: Solve for x
    x = 225,712.70/393.90
  6. Step 6: Final answer
    x = 573.02

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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.