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Finding the Fourth Proportional to 576.90, 796.10 and 355.84

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Solution

The fourth proportional to 576.90, 796.10 and 355.84 is: 491.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.90 : 796.10 = 355.84 : x
  2. Step 2: Convert to fraction form
    576.90/796.10 = 355.84/x
  3. Step 3: Cross multiply
    576.90x = 796.10 × 355.84
  4. Step 4: Simplify right side
    576.90x = 283,282.44
  5. Step 5: Solve for x
    x = 283,282.44/576.90
  6. Step 6: Final answer
    x = 491.05

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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.