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Finding the Fourth Proportional to 423.90, 636.46 and 241.66

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Solution

The fourth proportional to 423.90, 636.46 and 241.66 is: 362.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.90 : 636.46 = 241.66 : x
  2. Step 2: Convert to fraction form
    423.90/636.46 = 241.66/x
  3. Step 3: Cross multiply
    423.90x = 636.46 × 241.66
  4. Step 4: Simplify right side
    423.90x = 153,806.92
  5. Step 5: Solve for x
    x = 153,806.92/423.90
  6. Step 6: Final answer
    x = 362.84

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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.