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Finding the Fourth Proportional to 576.77, 796.05 and 328.07

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Solution

The fourth proportional to 576.77, 796.05 and 328.07 is: 452.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.77 : 796.05 = 328.07 : x
  2. Step 2: Convert to fraction form
    576.77/796.05 = 328.07/x
  3. Step 3: Cross multiply
    576.77x = 796.05 × 328.07
  4. Step 4: Simplify right side
    576.77x = 261,162.11
  5. Step 5: Solve for x
    x = 261,162.11/576.77
  6. Step 6: Final answer
    x = 452.81

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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.