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Finding the Fourth Proportional to 534.75, 802.24 and 205.69

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Solution

The fourth proportional to 534.75, 802.24 and 205.69 is: 308.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.75 : 802.24 = 205.69 : x
  2. Step 2: Convert to fraction form
    534.75/802.24 = 205.69/x
  3. Step 3: Cross multiply
    534.75x = 802.24 × 205.69
  4. Step 4: Simplify right side
    534.75x = 165,011.73
  5. Step 5: Solve for x
    x = 165,011.73/534.75
  6. Step 6: Final answer
    x = 308.58

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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.