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Finding the Fourth Proportional to 613.78, 847.20 and 365.25

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Solution

The fourth proportional to 613.78, 847.20 and 365.25 is: 504.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.78 : 847.20 = 365.25 : x
  2. Step 2: Convert to fraction form
    613.78/847.20 = 365.25/x
  3. Step 3: Cross multiply
    613.78x = 847.20 × 365.25
  4. Step 4: Simplify right side
    613.78x = 309,443.89
  5. Step 5: Solve for x
    x = 309,443.89/613.78
  6. Step 6: Final answer
    x = 504.16

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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.