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Finding the Fourth Proportional to 802.82, 1,204.31 and 217.83

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Solution

The fourth proportional to 802.82, 1,204.31 and 217.83 is: 326.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.82 : 1,204.31 = 217.83 : x
  2. Step 2: Convert to fraction form
    802.82/1,204.31 = 217.83/x
  3. Step 3: Cross multiply
    802.82x = 1,204.31 × 217.83
  4. Step 4: Simplify right side
    802.82x = 262,333.76
  5. Step 5: Solve for x
    x = 262,333.76/802.82
  6. Step 6: Final answer
    x = 326.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.