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Finding the Fourth Proportional to 424.06, 635.89 and 192.94

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Solution

The fourth proportional to 424.06, 635.89 and 192.94 is: 289.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.06 : 635.89 = 192.94 : x
  2. Step 2: Convert to fraction form
    424.06/635.89 = 192.94/x
  3. Step 3: Cross multiply
    424.06x = 635.89 × 192.94
  4. Step 4: Simplify right side
    424.06x = 122,688.62
  5. Step 5: Solve for x
    x = 122,688.62/424.06
  6. Step 6: Final answer
    x = 289.32

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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.