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Finding the Fourth Proportional to 600.62, 829.32 and 404.60

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Solution

The fourth proportional to 600.62, 829.32 and 404.60 is: 558.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.62 : 829.32 = 404.60 : x
  2. Step 2: Convert to fraction form
    600.62/829.32 = 404.60/x
  3. Step 3: Cross multiply
    600.62x = 829.32 × 404.60
  4. Step 4: Simplify right side
    600.62x = 335,542.87
  5. Step 5: Solve for x
    x = 335,542.87/600.62
  6. Step 6: Final answer
    x = 558.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.