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Finding the Fourth Proportional to 424.53, 636.39 and 205.02

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Solution

The fourth proportional to 424.53, 636.39 and 205.02 is: 307.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.53 : 636.39 = 205.02 : x
  2. Step 2: Convert to fraction form
    424.53/636.39 = 205.02/x
  3. Step 3: Cross multiply
    424.53x = 636.39 × 205.02
  4. Step 4: Simplify right side
    424.53x = 130,472.68
  5. Step 5: Solve for x
    x = 130,472.68/424.53
  6. Step 6: Final answer
    x = 307.33

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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.