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Finding the Fourth Proportional to 462.53, 693.56 and 154.27

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Solution

The fourth proportional to 462.53, 693.56 and 154.27 is: 231.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.53 : 693.56 = 154.27 : x
  2. Step 2: Convert to fraction form
    462.53/693.56 = 154.27/x
  3. Step 3: Cross multiply
    462.53x = 693.56 × 154.27
  4. Step 4: Simplify right side
    462.53x = 106,995.60
  5. Step 5: Solve for x
    x = 106,995.60/462.53
  6. Step 6: Final answer
    x = 231.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.