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Finding the Fourth Proportional to 424.37, 635.65 and 218.77

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Solution

The fourth proportional to 424.37, 635.65 and 218.77 is: 327.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.37 : 635.65 = 218.77 : x
  2. Step 2: Convert to fraction form
    424.37/635.65 = 218.77/x
  3. Step 3: Cross multiply
    424.37x = 635.65 × 218.77
  4. Step 4: Simplify right side
    424.37x = 139,059.01
  5. Step 5: Solve for x
    x = 139,059.01/424.37
  6. Step 6: Final answer
    x = 327.68

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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.