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Finding the Fourth Proportional to 600.98, 829.68 and 404.84

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Solution

The fourth proportional to 600.98, 829.68 and 404.84 is: 558.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.98 : 829.68 = 404.84 : x
  2. Step 2: Convert to fraction form
    600.98/829.68 = 404.84/x
  3. Step 3: Cross multiply
    600.98x = 829.68 × 404.84
  4. Step 4: Simplify right side
    600.98x = 335,887.65
  5. Step 5: Solve for x
    x = 335,887.65/600.98
  6. Step 6: Final answer
    x = 558.90

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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.