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Finding the Fourth Proportional to 424.23, 636.33 and 293.85

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Solution

The fourth proportional to 424.23, 636.33 and 293.85 is: 440.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.23 : 636.33 = 293.85 : x
  2. Step 2: Convert to fraction form
    424.23/636.33 = 293.85/x
  3. Step 3: Cross multiply
    424.23x = 636.33 × 293.85
  4. Step 4: Simplify right side
    424.23x = 186,985.57
  5. Step 5: Solve for x
    x = 186,985.57/424.23
  6. Step 6: Final answer
    x = 440.76

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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.