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Finding the Fourth Proportional to 424.42, 636.81 and 407.86

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Solution

The fourth proportional to 424.42, 636.81 and 407.86 is: 611.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.42 : 636.81 = 407.86 : x
  2. Step 2: Convert to fraction form
    424.42/636.81 = 407.86/x
  3. Step 3: Cross multiply
    424.42x = 636.81 × 407.86
  4. Step 4: Simplify right side
    424.42x = 259,729.33
  5. Step 5: Solve for x
    x = 259,729.33/424.42
  6. Step 6: Final answer
    x = 611.96

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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.