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Finding the Fourth Proportional to 573.65, 791.62 and 324.96

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Solution

The fourth proportional to 573.65, 791.62 and 324.96 is: 448.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.65 : 791.62 = 324.96 : x
  2. Step 2: Convert to fraction form
    573.65/791.62 = 324.96/x
  3. Step 3: Cross multiply
    573.65x = 791.62 × 324.96
  4. Step 4: Simplify right side
    573.65x = 257,244.02
  5. Step 5: Solve for x
    x = 257,244.02/573.65
  6. Step 6: Final answer
    x = 448.44

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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.