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Finding the Fourth Proportional to 576.18, 794.79 and 355.05

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Solution

The fourth proportional to 576.18, 794.79 and 355.05 is: 489.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.18 : 794.79 = 355.05 : x
  2. Step 2: Convert to fraction form
    576.18/794.79 = 355.05/x
  3. Step 3: Cross multiply
    576.18x = 794.79 × 355.05
  4. Step 4: Simplify right side
    576.18x = 282,190.19
  5. Step 5: Solve for x
    x = 282,190.19/576.18
  6. Step 6: Final answer
    x = 489.76

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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.