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Finding the Fourth Proportional to 613.34, 846.39 and 364.69

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Solution

The fourth proportional to 613.34, 846.39 and 364.69 is: 503.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.34 : 846.39 = 364.69 : x
  2. Step 2: Convert to fraction form
    613.34/846.39 = 364.69/x
  3. Step 3: Cross multiply
    613.34x = 846.39 × 364.69
  4. Step 4: Simplify right side
    613.34x = 308,669.97
  5. Step 5: Solve for x
    x = 308,669.97/613.34
  6. Step 6: Final answer
    x = 503.26

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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.