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Finding the Fourth Proportional to 400.87, 601.24 and 184.42

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Solution

The fourth proportional to 400.87, 601.24 and 184.42 is: 276.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.87 : 601.24 = 184.42 : x
  2. Step 2: Convert to fraction form
    400.87/601.24 = 184.42/x
  3. Step 3: Cross multiply
    400.87x = 601.24 × 184.42
  4. Step 4: Simplify right side
    400.87x = 110,880.68
  5. Step 5: Solve for x
    x = 110,880.68/400.87
  6. Step 6: Final answer
    x = 276.60

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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.