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Finding the Fourth Proportional to 439.09, 657.80 and 424.44

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Solution

The fourth proportional to 439.09, 657.80 and 424.44 is: 635.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.09 : 657.80 = 424.44 : x
  2. Step 2: Convert to fraction form
    439.09/657.80 = 424.44/x
  3. Step 3: Cross multiply
    439.09x = 657.80 × 424.44
  4. Step 4: Simplify right side
    439.09x = 279,196.63
  5. Step 5: Solve for x
    x = 279,196.63/439.09
  6. Step 6: Final answer
    x = 635.85

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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.