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Finding the Fourth Proportional to 529.16, 793.85 and 204.62

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Solution

The fourth proportional to 529.16, 793.85 and 204.62 is: 306.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.16 : 793.85 = 204.62 : x
  2. Step 2: Convert to fraction form
    529.16/793.85 = 204.62/x
  3. Step 3: Cross multiply
    529.16x = 793.85 × 204.62
  4. Step 4: Simplify right side
    529.16x = 162,437.59
  5. Step 5: Solve for x
    x = 162,437.59/529.16
  6. Step 6: Final answer
    x = 306.97

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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.