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Finding the Fourth Proportional to 573.66, 791.64 and 376.83

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Solution

The fourth proportional to 573.66, 791.64 and 376.83 is: 520.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.66 : 791.64 = 376.83 : x
  2. Step 2: Convert to fraction form
    573.66/791.64 = 376.83/x
  3. Step 3: Cross multiply
    573.66x = 791.64 × 376.83
  4. Step 4: Simplify right side
    573.66x = 298,313.70
  5. Step 5: Solve for x
    x = 298,313.70/573.66
  6. Step 6: Final answer
    x = 520.02

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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.