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Finding the Fourth Proportional to 613.89, 846.90 and 365.09

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Solution

The fourth proportional to 613.89, 846.90 and 365.09 is: 503.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.89 : 846.90 = 365.09 : x
  2. Step 2: Convert to fraction form
    613.89/846.90 = 365.09/x
  3. Step 3: Cross multiply
    613.89x = 846.90 × 365.09
  4. Step 4: Simplify right side
    613.89x = 309,190.49
  5. Step 5: Solve for x
    x = 309,190.49/613.89
  6. Step 6: Final answer
    x = 503.66

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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.