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Finding the Fourth Proportional to 613.85, 847.24 and 365.15

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Solution

The fourth proportional to 613.85, 847.24 and 365.15 is: 503.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.85 : 847.24 = 365.15 : x
  2. Step 2: Convert to fraction form
    613.85/847.24 = 365.15/x
  3. Step 3: Cross multiply
    613.85x = 847.24 × 365.15
  4. Step 4: Simplify right side
    613.85x = 309,370.89
  5. Step 5: Solve for x
    x = 309,370.89/613.85
  6. Step 6: Final answer
    x = 503.99

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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.