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Finding the Fourth Proportional to 600.98, 829.10 and 404.55

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Solution

The fourth proportional to 600.98, 829.10 and 404.55 is: 558.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.98 : 829.10 = 404.55 : x
  2. Step 2: Convert to fraction form
    600.98/829.10 = 404.55/x
  3. Step 3: Cross multiply
    600.98x = 829.10 × 404.55
  4. Step 4: Simplify right side
    600.98x = 335,410.38
  5. Step 5: Solve for x
    x = 335,410.38/600.98
  6. Step 6: Final answer
    x = 558.11

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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.