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Finding the Fourth Proportional to 460.18, 689.49 and 443.14

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Solution

The fourth proportional to 460.18, 689.49 and 443.14 is: 663.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.18 : 689.49 = 443.14 : x
  2. Step 2: Convert to fraction form
    460.18/689.49 = 443.14/x
  3. Step 3: Cross multiply
    460.18x = 689.49 × 443.14
  4. Step 4: Simplify right side
    460.18x = 305,540.60
  5. Step 5: Solve for x
    x = 305,540.60/460.18
  6. Step 6: Final answer
    x = 663.96

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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.