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Finding the Fourth Proportional to 693.11, 956.46 and 398.37

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Solution

The fourth proportional to 693.11, 956.46 and 398.37 is: 549.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.11 : 956.46 = 398.37 : x
  2. Step 2: Convert to fraction form
    693.11/956.46 = 398.37/x
  3. Step 3: Cross multiply
    693.11x = 956.46 × 398.37
  4. Step 4: Simplify right side
    693.11x = 381,022.43
  5. Step 5: Solve for x
    x = 381,022.43/693.11
  6. Step 6: Final answer
    x = 549.73

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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.