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Finding the Fourth Proportional to 424.30, 635.53 and 204.59

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Solution

The fourth proportional to 424.30, 635.53 and 204.59 is: 306.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.30 : 635.53 = 204.59 : x
  2. Step 2: Convert to fraction form
    424.30/635.53 = 204.59/x
  3. Step 3: Cross multiply
    424.30x = 635.53 × 204.59
  4. Step 4: Simplify right side
    424.30x = 130,023.08
  5. Step 5: Solve for x
    x = 130,023.08/424.30
  6. Step 6: Final answer
    x = 306.44

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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.