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Finding the Fourth Proportional to 535.04, 802.67 and 205.97

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Solution

The fourth proportional to 535.04, 802.67 and 205.97 is: 308.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.04 : 802.67 = 205.97 : x
  2. Step 2: Convert to fraction form
    535.04/802.67 = 205.97/x
  3. Step 3: Cross multiply
    535.04x = 802.67 × 205.97
  4. Step 4: Simplify right side
    535.04x = 165,320.90
  5. Step 5: Solve for x
    x = 165,320.90/535.04
  6. Step 6: Final answer
    x = 308.99

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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.