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Finding the Fourth Proportional to 439.56, 654.77 and 424.58

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Solution

The fourth proportional to 439.56, 654.77 and 424.58 is: 632.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.56 : 654.77 = 424.58 : x
  2. Step 2: Convert to fraction form
    439.56/654.77 = 424.58/x
  3. Step 3: Cross multiply
    439.56x = 654.77 × 424.58
  4. Step 4: Simplify right side
    439.56x = 277,996.85
  5. Step 5: Solve for x
    x = 277,996.85/439.56
  6. Step 6: Final answer
    x = 632.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.