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Finding the Fourth Proportional to 576.88, 796.04 and 355.76

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Solution

The fourth proportional to 576.88, 796.04 and 355.76 is: 490.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.88 : 796.04 = 355.76 : x
  2. Step 2: Convert to fraction form
    576.88/796.04 = 355.76/x
  3. Step 3: Cross multiply
    576.88x = 796.04 × 355.76
  4. Step 4: Simplify right side
    576.88x = 283,199.19
  5. Step 5: Solve for x
    x = 283,199.19/576.88
  6. Step 6: Final answer
    x = 490.92

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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.