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Finding the Fourth Proportional to 462.70, 694.05 and 231.24

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Solution

The fourth proportional to 462.70, 694.05 and 231.24 is: 346.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.70 : 694.05 = 231.24 : x
  2. Step 2: Convert to fraction form
    462.70/694.05 = 231.24/x
  3. Step 3: Cross multiply
    462.70x = 694.05 × 231.24
  4. Step 4: Simplify right side
    462.70x = 160,492.12
  5. Step 5: Solve for x
    x = 160,492.12/462.70
  6. Step 6: Final answer
    x = 346.86

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Why These Related Problems?

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