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Finding the Fourth Proportional to 437.25, 603.77 and 382.62

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Solution

The fourth proportional to 437.25, 603.77 and 382.62 is: 528.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.25 : 603.77 = 382.62 : x
  2. Step 2: Convert to fraction form
    437.25/603.77 = 382.62/x
  3. Step 3: Cross multiply
    437.25x = 603.77 × 382.62
  4. Step 4: Simplify right side
    437.25x = 231,012.56
  5. Step 5: Solve for x
    x = 231,012.56/437.25
  6. Step 6: Final answer
    x = 528.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.