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Finding the Fourth Proportional to 574.62, 792.98 and 326.00

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Solution

The fourth proportional to 574.62, 792.98 and 326.00 is: 449.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.62 : 792.98 = 326.00 : x
  2. Step 2: Convert to fraction form
    574.62/792.98 = 326.00/x
  3. Step 3: Cross multiply
    574.62x = 792.98 × 326.00
  4. Step 4: Simplify right side
    574.62x = 258,510.37
  5. Step 5: Solve for x
    x = 258,510.37/574.62
  6. Step 6: Final answer
    x = 449.88

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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.