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Finding the Fourth Proportional to 576.24, 794.77 and 355.11

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Solution

The fourth proportional to 576.24, 794.77 and 355.11 is: 489.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.24 : 794.77 = 355.11 : x
  2. Step 2: Convert to fraction form
    576.24/794.77 = 355.11/x
  3. Step 3: Cross multiply
    576.24x = 794.77 × 355.11
  4. Step 4: Simplify right side
    576.24x = 282,230.77
  5. Step 5: Solve for x
    x = 282,230.77/576.24
  6. Step 6: Final answer
    x = 489.78

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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.