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Finding the Fourth Proportional to 562.23, 775.76 and 338.27

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Solution

The fourth proportional to 562.23, 775.76 and 338.27 is: 466.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.23 : 775.76 = 338.27 : x
  2. Step 2: Convert to fraction form
    562.23/775.76 = 338.27/x
  3. Step 3: Cross multiply
    562.23x = 775.76 × 338.27
  4. Step 4: Simplify right side
    562.23x = 262,410.77
  5. Step 5: Solve for x
    x = 262,410.77/562.23
  6. Step 6: Final answer
    x = 466.73

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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.