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Finding the Fourth Proportional to 613.44, 846.20 and 392.16

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Solution

The fourth proportional to 613.44, 846.20 and 392.16 is: 540.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.44 : 846.20 = 392.16 : x
  2. Step 2: Convert to fraction form
    613.44/846.20 = 392.16/x
  3. Step 3: Cross multiply
    613.44x = 846.20 × 392.16
  4. Step 4: Simplify right side
    613.44x = 331,845.79
  5. Step 5: Solve for x
    x = 331,845.79/613.44
  6. Step 6: Final answer
    x = 540.96

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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.