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Finding the Fourth Proportional to 424.27, 636.23 and 177.46

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Solution

The fourth proportional to 424.27, 636.23 and 177.46 is: 266.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.27 : 636.23 = 177.46 : x
  2. Step 2: Convert to fraction form
    424.27/636.23 = 177.46/x
  3. Step 3: Cross multiply
    424.27x = 636.23 × 177.46
  4. Step 4: Simplify right side
    424.27x = 112,902.19
  5. Step 5: Solve for x
    x = 112,902.19/424.27
  6. Step 6: Final answer
    x = 266.11

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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.