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Finding the Fourth Proportional to 493.88, 741.20 and 205.52

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Solution

The fourth proportional to 493.88, 741.20 and 205.52 is: 308.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.88 : 741.20 = 205.52 : x
  2. Step 2: Convert to fraction form
    493.88/741.20 = 205.52/x
  3. Step 3: Cross multiply
    493.88x = 741.20 × 205.52
  4. Step 4: Simplify right side
    493.88x = 152,331.42
  5. Step 5: Solve for x
    x = 152,331.42/493.88
  6. Step 6: Final answer
    x = 308.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.