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Finding the Fourth Proportional to 573.64, 791.57 and 324.90

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Solution

The fourth proportional to 573.64, 791.57 and 324.90 is: 448.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.64 : 791.57 = 324.90 : x
  2. Step 2: Convert to fraction form
    573.64/791.57 = 324.90/x
  3. Step 3: Cross multiply
    573.64x = 791.57 × 324.90
  4. Step 4: Simplify right side
    573.64x = 257,181.91
  5. Step 5: Solve for x
    x = 257,181.91/573.64
  6. Step 6: Final answer
    x = 448.34

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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.