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Finding the Fourth Proportional to 613.89, 847.08 and 365.22

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Solution

The fourth proportional to 613.89, 847.08 and 365.22 is: 503.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.89 : 847.08 = 365.22 : x
  2. Step 2: Convert to fraction form
    613.89/847.08 = 365.22/x
  3. Step 3: Cross multiply
    613.89x = 847.08 × 365.22
  4. Step 4: Simplify right side
    613.89x = 309,370.56
  5. Step 5: Solve for x
    x = 309,370.56/613.89
  6. Step 6: Final answer
    x = 503.95

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Why These Related Problems?

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