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Finding the Fourth Proportional to 529.26, 793.68 and 204.66

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Solution

The fourth proportional to 529.26, 793.68 and 204.66 is: 306.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.26 : 793.68 = 204.66 : x
  2. Step 2: Convert to fraction form
    529.26/793.68 = 204.66/x
  3. Step 3: Cross multiply
    529.26x = 793.68 × 204.66
  4. Step 4: Simplify right side
    529.26x = 162,434.55
  5. Step 5: Solve for x
    x = 162,434.55/529.26
  6. Step 6: Final answer
    x = 306.91

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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.