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Finding the Fourth Proportional to 613.67, 846.92 and 365.06

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Solution

The fourth proportional to 613.67, 846.92 and 365.06 is: 503.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.67 : 846.92 = 365.06 : x
  2. Step 2: Convert to fraction form
    613.67/846.92 = 365.06/x
  3. Step 3: Cross multiply
    613.67x = 846.92 × 365.06
  4. Step 4: Simplify right side
    613.67x = 309,179.65
  5. Step 5: Solve for x
    x = 309,179.65/613.67
  6. Step 6: Final answer
    x = 503.82

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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.