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Finding the Fourth Proportional to 424.22, 635.93 and 189.83

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Solution

The fourth proportional to 424.22, 635.93 and 189.83 is: 284.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.22 : 635.93 = 189.83 : x
  2. Step 2: Convert to fraction form
    424.22/635.93 = 189.83/x
  3. Step 3: Cross multiply
    424.22x = 635.93 × 189.83
  4. Step 4: Simplify right side
    424.22x = 120,714.46
  5. Step 5: Solve for x
    x = 120,714.46/424.22
  6. Step 6: Final answer
    x = 284.56

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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.