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Finding the Fourth Proportional to 534.87, 802.21 and 205.65

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Solution

The fourth proportional to 534.87, 802.21 and 205.65 is: 308.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.87 : 802.21 = 205.65 : x
  2. Step 2: Convert to fraction form
    534.87/802.21 = 205.65/x
  3. Step 3: Cross multiply
    534.87x = 802.21 × 205.65
  4. Step 4: Simplify right side
    534.87x = 164,974.49
  5. Step 5: Solve for x
    x = 164,974.49/534.87
  6. Step 6: Final answer
    x = 308.44

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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.