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Finding the Fourth Proportional to 528.93, 793.67 and 204.26

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Solution

The fourth proportional to 528.93, 793.67 and 204.26 is: 306.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.93 : 793.67 = 204.26 : x
  2. Step 2: Convert to fraction form
    528.93/793.67 = 204.26/x
  3. Step 3: Cross multiply
    528.93x = 793.67 × 204.26
  4. Step 4: Simplify right side
    528.93x = 162,110.04
  5. Step 5: Solve for x
    x = 162,110.04/528.93
  6. Step 6: Final answer
    x = 306.49

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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.