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Finding the Fourth Proportional to 528.54, 792.26 and 204.13

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Solution

The fourth proportional to 528.54, 792.26 and 204.13 is: 305.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.54 : 792.26 = 204.13 : x
  2. Step 2: Convert to fraction form
    528.54/792.26 = 204.13/x
  3. Step 3: Cross multiply
    528.54x = 792.26 × 204.13
  4. Step 4: Simplify right side
    528.54x = 161,724.03
  5. Step 5: Solve for x
    x = 161,724.03/528.54
  6. Step 6: Final answer
    x = 305.98

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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.