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Finding the Fourth Proportional to 496.89, 686.33 and 392.13

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Solution

The fourth proportional to 496.89, 686.33 and 392.13 is: 541.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.89 : 686.33 = 392.13 : x
  2. Step 2: Convert to fraction form
    496.89/686.33 = 392.13/x
  3. Step 3: Cross multiply
    496.89x = 686.33 × 392.13
  4. Step 4: Simplify right side
    496.89x = 269,128.62
  5. Step 5: Solve for x
    x = 269,128.62/496.89
  6. Step 6: Final answer
    x = 541.63

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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.