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Finding the Fourth Proportional to 613.22, 846.35 and 392.26

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Solution

The fourth proportional to 613.22, 846.35 and 392.26 is: 541.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.22 : 846.35 = 392.26 : x
  2. Step 2: Convert to fraction form
    613.22/846.35 = 392.26/x
  3. Step 3: Cross multiply
    613.22x = 846.35 × 392.26
  4. Step 4: Simplify right side
    613.22x = 331,988.12
  5. Step 5: Solve for x
    x = 331,988.12/613.22
  6. Step 6: Final answer
    x = 541.39

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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.