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Finding the Fourth Proportional to 338.90, 467.98 and 261.14

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Solution

The fourth proportional to 338.90, 467.98 and 261.14 is: 360.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.90 : 467.98 = 261.14 : x
  2. Step 2: Convert to fraction form
    338.90/467.98 = 261.14/x
  3. Step 3: Cross multiply
    338.90x = 467.98 × 261.14
  4. Step 4: Simplify right side
    338.90x = 122,208.30
  5. Step 5: Solve for x
    x = 122,208.30/338.90
  6. Step 6: Final answer
    x = 360.60

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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.