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Finding the Fourth Proportional to 600.56, 829.17 and 376.83

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Solution

The fourth proportional to 600.56, 829.17 and 376.83 is: 520.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.56 : 829.17 = 376.83 : x
  2. Step 2: Convert to fraction form
    600.56/829.17 = 376.83/x
  3. Step 3: Cross multiply
    600.56x = 829.17 × 376.83
  4. Step 4: Simplify right side
    600.56x = 312,456.13
  5. Step 5: Solve for x
    x = 312,456.13/600.56
  6. Step 6: Final answer
    x = 520.27

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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.