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Finding the Fourth Proportional to 613.96, 847.20 and 365.29

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Solution

The fourth proportional to 613.96, 847.20 and 365.29 is: 504.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.96 : 847.20 = 365.29 : x
  2. Step 2: Convert to fraction form
    613.96/847.20 = 365.29/x
  3. Step 3: Cross multiply
    613.96x = 847.20 × 365.29
  4. Step 4: Simplify right side
    613.96x = 309,473.69
  5. Step 5: Solve for x
    x = 309,473.69/613.96
  6. Step 6: Final answer
    x = 504.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.