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Finding the Fourth Proportional to 503.67, 694.13 and 392.97

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Solution

The fourth proportional to 503.67, 694.13 and 392.97 is: 541.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.67 : 694.13 = 392.97 : x
  2. Step 2: Convert to fraction form
    503.67/694.13 = 392.97/x
  3. Step 3: Cross multiply
    503.67x = 694.13 × 392.97
  4. Step 4: Simplify right side
    503.67x = 272,770.30
  5. Step 5: Solve for x
    x = 272,770.30/503.67
  6. Step 6: Final answer
    x = 541.57

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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.