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Finding the Fourth Proportional to 574.83, 793.24 and 326.13

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Solution

The fourth proportional to 574.83, 793.24 and 326.13 is: 450.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.83 : 793.24 = 326.13 : x
  2. Step 2: Convert to fraction form
    574.83/793.24 = 326.13/x
  3. Step 3: Cross multiply
    574.83x = 793.24 × 326.13
  4. Step 4: Simplify right side
    574.83x = 258,699.36
  5. Step 5: Solve for x
    x = 258,699.36/574.83
  6. Step 6: Final answer
    x = 450.04

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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.