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Finding the Fourth Proportional to 423.98, 636.28 and 241.73

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Solution

The fourth proportional to 423.98, 636.28 and 241.73 is: 362.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.98 : 636.28 = 241.73 : x
  2. Step 2: Convert to fraction form
    423.98/636.28 = 241.73/x
  3. Step 3: Cross multiply
    423.98x = 636.28 × 241.73
  4. Step 4: Simplify right side
    423.98x = 153,808.95
  5. Step 5: Solve for x
    x = 153,808.95/423.98
  6. Step 6: Final answer
    x = 362.77

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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.