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Finding the Fourth Proportional to 576.75, 796.14 and 355.80

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Solution

The fourth proportional to 576.75, 796.14 and 355.80 is: 491.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.75 : 796.14 = 355.80 : x
  2. Step 2: Convert to fraction form
    576.75/796.14 = 355.80/x
  3. Step 3: Cross multiply
    576.75x = 796.14 × 355.80
  4. Step 4: Simplify right side
    576.75x = 283,266.61
  5. Step 5: Solve for x
    x = 283,266.61/576.75
  6. Step 6: Final answer
    x = 491.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.