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Finding the Fourth Proportional to 528.87, 793.32 and 204.19

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Solution

The fourth proportional to 528.87, 793.32 and 204.19 is: 306.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.87 : 793.32 = 204.19 : x
  2. Step 2: Convert to fraction form
    528.87/793.32 = 204.19/x
  3. Step 3: Cross multiply
    528.87x = 793.32 × 204.19
  4. Step 4: Simplify right side
    528.87x = 161,988.01
  5. Step 5: Solve for x
    x = 161,988.01/528.87
  6. Step 6: Final answer
    x = 306.29

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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.