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Finding the Fourth Proportional to 338.14, 466.21 and 264.34

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Solution

The fourth proportional to 338.14, 466.21 and 264.34 is: 364.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.14 : 466.21 = 264.34 : x
  2. Step 2: Convert to fraction form
    338.14/466.21 = 264.34/x
  3. Step 3: Cross multiply
    338.14x = 466.21 × 264.34
  4. Step 4: Simplify right side
    338.14x = 123,237.95
  5. Step 5: Solve for x
    x = 123,237.95/338.14
  6. Step 6: Final answer
    x = 364.46

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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.