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Finding the Fourth Proportional to 600.78, 829.67 and 414.75

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Solution

The fourth proportional to 600.78, 829.67 and 414.75 is: 572.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.78 : 829.67 = 414.75 : x
  2. Step 2: Convert to fraction form
    600.78/829.67 = 414.75/x
  3. Step 3: Cross multiply
    600.78x = 829.67 × 414.75
  4. Step 4: Simplify right side
    600.78x = 344,105.63
  5. Step 5: Solve for x
    x = 344,105.63/600.78
  6. Step 6: Final answer
    x = 572.76

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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.