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Finding the Fourth Proportional to 338.32, 507.71 and 222.82

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Solution

The fourth proportional to 338.32, 507.71 and 222.82 is: 334.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.32 : 507.71 = 222.82 : x
  2. Step 2: Convert to fraction form
    338.32/507.71 = 222.82/x
  3. Step 3: Cross multiply
    338.32x = 507.71 × 222.82
  4. Step 4: Simplify right side
    338.32x = 113,127.94
  5. Step 5: Solve for x
    x = 113,127.94/338.32
  6. Step 6: Final answer
    x = 334.38

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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.