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Finding the Fourth Proportional to 382.90, 574.37 and 200.35

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Solution

The fourth proportional to 382.90, 574.37 and 200.35 is: 300.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.90 : 574.37 = 200.35 : x
  2. Step 2: Convert to fraction form
    382.90/574.37 = 200.35/x
  3. Step 3: Cross multiply
    382.90x = 574.37 × 200.35
  4. Step 4: Simplify right side
    382.90x = 115,075.03
  5. Step 5: Solve for x
    x = 115,075.03/382.90
  6. Step 6: Final answer
    x = 300.54

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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.