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Finding the Fourth Proportional to 613.72, 846.86 and 365.05

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Solution

The fourth proportional to 613.72, 846.86 and 365.05 is: 503.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.72 : 846.86 = 365.05 : x
  2. Step 2: Convert to fraction form
    613.72/846.86 = 365.05/x
  3. Step 3: Cross multiply
    613.72x = 846.86 × 365.05
  4. Step 4: Simplify right side
    613.72x = 309,146.24
  5. Step 5: Solve for x
    x = 309,146.24/613.72
  6. Step 6: Final answer
    x = 503.73

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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.