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Finding the Fourth Proportional to 573.86, 791.98 and 325.16

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Solution

The fourth proportional to 573.86, 791.98 and 325.16 is: 448.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.86 : 791.98 = 325.16 : x
  2. Step 2: Convert to fraction form
    573.86/791.98 = 325.16/x
  3. Step 3: Cross multiply
    573.86x = 791.98 × 325.16
  4. Step 4: Simplify right side
    573.86x = 257,520.22
  5. Step 5: Solve for x
    x = 257,520.22/573.86
  6. Step 6: Final answer
    x = 448.75

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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.