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Finding the Fourth Proportional to 600.90, 829.29 and 404.55

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Solution

The fourth proportional to 600.90, 829.29 and 404.55 is: 558.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.90 : 829.29 = 404.55 : x
  2. Step 2: Convert to fraction form
    600.90/829.29 = 404.55/x
  3. Step 3: Cross multiply
    600.90x = 829.29 × 404.55
  4. Step 4: Simplify right side
    600.90x = 335,489.27
  5. Step 5: Solve for x
    x = 335,489.27/600.90
  6. Step 6: Final answer
    x = 558.31

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