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Finding the Fourth Proportional to 529.26, 793.74 and 204.56

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Solution

The fourth proportional to 529.26, 793.74 and 204.56 is: 306.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.26 : 793.74 = 204.56 : x
  2. Step 2: Convert to fraction form
    529.26/793.74 = 204.56/x
  3. Step 3: Cross multiply
    529.26x = 793.74 × 204.56
  4. Step 4: Simplify right side
    529.26x = 162,363.49
  5. Step 5: Solve for x
    x = 162,363.49/529.26
  6. Step 6: Final answer
    x = 306.77

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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.