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Finding the Fourth Proportional to 493.38, 678.15 and 443.16

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Solution

The fourth proportional to 493.38, 678.15 and 443.16 is: 609.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.38 : 678.15 = 443.16 : x
  2. Step 2: Convert to fraction form
    493.38/678.15 = 443.16/x
  3. Step 3: Cross multiply
    493.38x = 678.15 × 443.16
  4. Step 4: Simplify right side
    493.38x = 300,528.95
  5. Step 5: Solve for x
    x = 300,528.95/493.38
  6. Step 6: Final answer
    x = 609.12

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.