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Finding the Fourth Proportional to 576.22, 794.92 and 355.04

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Solution

The fourth proportional to 576.22, 794.92 and 355.04 is: 489.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.22 : 794.92 = 355.04 : x
  2. Step 2: Convert to fraction form
    576.22/794.92 = 355.04/x
  3. Step 3: Cross multiply
    576.22x = 794.92 × 355.04
  4. Step 4: Simplify right side
    576.22x = 282,224.42
  5. Step 5: Solve for x
    x = 282,224.42/576.22
  6. Step 6: Final answer
    x = 489.79

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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.