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Finding the Fourth Proportional to 573.14, 790.80 and 324.43

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Solution

The fourth proportional to 573.14, 790.80 and 324.43 is: 447.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.14 : 790.80 = 324.43 : x
  2. Step 2: Convert to fraction form
    573.14/790.80 = 324.43/x
  3. Step 3: Cross multiply
    573.14x = 790.80 × 324.43
  4. Step 4: Simplify right side
    573.14x = 256,559.24
  5. Step 5: Solve for x
    x = 256,559.24/573.14
  6. Step 6: Final answer
    x = 447.64

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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.