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Finding the Fourth Proportional to 370.62, 511.46 and 223.27

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Solution

The fourth proportional to 370.62, 511.46 and 223.27 is: 308.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.62 : 511.46 = 223.27 : x
  2. Step 2: Convert to fraction form
    370.62/511.46 = 223.27/x
  3. Step 3: Cross multiply
    370.62x = 511.46 × 223.27
  4. Step 4: Simplify right side
    370.62x = 114,193.67
  5. Step 5: Solve for x
    x = 114,193.67/370.62
  6. Step 6: Final answer
    x = 308.12

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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.