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Finding the Fourth Proportional to 460.44, 690.66 and 200.42

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Solution

The fourth proportional to 460.44, 690.66 and 200.42 is: 300.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.44 : 690.66 = 200.42 : x
  2. Step 2: Convert to fraction form
    460.44/690.66 = 200.42/x
  3. Step 3: Cross multiply
    460.44x = 690.66 × 200.42
  4. Step 4: Simplify right side
    460.44x = 138,422.08
  5. Step 5: Solve for x
    x = 138,422.08/460.44
  6. Step 6: Final answer
    x = 300.63

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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.