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Finding the Fourth Proportional to 574.71, 793.08 and 326.04

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Solution

The fourth proportional to 574.71, 793.08 and 326.04 is: 449.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.71 : 793.08 = 326.04 : x
  2. Step 2: Convert to fraction form
    574.71/793.08 = 326.04/x
  3. Step 3: Cross multiply
    574.71x = 793.08 × 326.04
  4. Step 4: Simplify right side
    574.71x = 258,575.80
  5. Step 5: Solve for x
    x = 258,575.80/574.71
  6. Step 6: Final answer
    x = 449.92

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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.