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Finding the Fourth Proportional to 613.75, 846.97 and 365.07

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Solution

The fourth proportional to 613.75, 846.97 and 365.07 is: 503.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.75 : 846.97 = 365.07 : x
  2. Step 2: Convert to fraction form
    613.75/846.97 = 365.07/x
  3. Step 3: Cross multiply
    613.75x = 846.97 × 365.07
  4. Step 4: Simplify right side
    613.75x = 309,198.19
  5. Step 5: Solve for x
    x = 309,198.19/613.75
  6. Step 6: Final answer
    x = 503.79

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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.