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Finding the Fourth Proportional to 436.87, 654.43 and 378.42

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Solution

The fourth proportional to 436.87, 654.43 and 378.42 is: 566.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.87 : 654.43 = 378.42 : x
  2. Step 2: Convert to fraction form
    436.87/654.43 = 378.42/x
  3. Step 3: Cross multiply
    436.87x = 654.43 × 378.42
  4. Step 4: Simplify right side
    436.87x = 247,650.39
  5. Step 5: Solve for x
    x = 247,650.39/436.87
  6. Step 6: Final answer
    x = 566.88

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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.