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Finding the Fourth Proportional to 576.83, 796.08 and 340.85

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Solution

The fourth proportional to 576.83, 796.08 and 340.85 is: 470.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.83 : 796.08 = 340.85 : x
  2. Step 2: Convert to fraction form
    576.83/796.08 = 340.85/x
  3. Step 3: Cross multiply
    576.83x = 796.08 × 340.85
  4. Step 4: Simplify right side
    576.83x = 271,345.22
  5. Step 5: Solve for x
    x = 271,345.22/576.83
  6. Step 6: Final answer
    x = 470.41

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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.