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Finding the Fourth Proportional to 613.46, 846.70 and 392.34

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Solution

The fourth proportional to 613.46, 846.70 and 392.34 is: 541.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.46 : 846.70 = 392.34 : x
  2. Step 2: Convert to fraction form
    613.46/846.70 = 392.34/x
  3. Step 3: Cross multiply
    613.46x = 846.70 × 392.34
  4. Step 4: Simplify right side
    613.46x = 332,194.28
  5. Step 5: Solve for x
    x = 332,194.28/613.46
  6. Step 6: Final answer
    x = 541.51

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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.