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Finding the Fourth Proportional to 613.43, 846.72 and 364.93

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Solution

The fourth proportional to 613.43, 846.72 and 364.93 is: 503.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.43 : 846.72 = 364.93 : x
  2. Step 2: Convert to fraction form
    613.43/846.72 = 364.93/x
  3. Step 3: Cross multiply
    613.43x = 846.72 × 364.93
  4. Step 4: Simplify right side
    613.43x = 308,990.04
  5. Step 5: Solve for x
    x = 308,990.04/613.43
  6. Step 6: Final answer
    x = 503.71

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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.