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Finding the Fourth Proportional to 339.80, 468.84 and 261.20

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Solution

The fourth proportional to 339.80, 468.84 and 261.20 is: 360.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.80 : 468.84 = 261.20 : x
  2. Step 2: Convert to fraction form
    339.80/468.84 = 261.20/x
  3. Step 3: Cross multiply
    339.80x = 468.84 × 261.20
  4. Step 4: Simplify right side
    339.80x = 122,462.18
  5. Step 5: Solve for x
    x = 122,462.18/339.80
  6. Step 6: Final answer
    x = 360.40

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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.