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Finding the Fourth Proportional to 854.56, 1,282.40 and 367.60

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Solution

The fourth proportional to 854.56, 1,282.40 and 367.60 is: 551.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.56 : 1,282.40 = 367.60 : x
  2. Step 2: Convert to fraction form
    854.56/1,282.40 = 367.60/x
  3. Step 3: Cross multiply
    854.56x = 1,282.40 × 367.60
  4. Step 4: Simplify right side
    854.56x = 471,410.24
  5. Step 5: Solve for x
    x = 471,410.24/854.56
  6. Step 6: Final answer
    x = 551.64

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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.