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Finding the Fourth Proportional to 534.97, 802.28 and 205.83

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Solution

The fourth proportional to 534.97, 802.28 and 205.83 is: 308.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.97 : 802.28 = 205.83 : x
  2. Step 2: Convert to fraction form
    534.97/802.28 = 205.83/x
  3. Step 3: Cross multiply
    534.97x = 802.28 × 205.83
  4. Step 4: Simplify right side
    534.97x = 165,133.29
  5. Step 5: Solve for x
    x = 165,133.29/534.97
  6. Step 6: Final answer
    x = 308.68

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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.