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Finding the Fourth Proportional to 613.78, 847.24 and 365.18

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Solution

The fourth proportional to 613.78, 847.24 and 365.18 is: 504.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.78 : 847.24 = 365.18 : x
  2. Step 2: Convert to fraction form
    613.78/847.24 = 365.18/x
  3. Step 3: Cross multiply
    613.78x = 847.24 × 365.18
  4. Step 4: Simplify right side
    613.78x = 309,395.10
  5. Step 5: Solve for x
    x = 309,395.10/613.78
  6. Step 6: Final answer
    x = 504.08

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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.