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Finding the Fourth Proportional to 528.45, 792.20 and 204.06

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Solution

The fourth proportional to 528.45, 792.20 and 204.06 is: 305.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.45 : 792.20 = 204.06 : x
  2. Step 2: Convert to fraction form
    528.45/792.20 = 204.06/x
  3. Step 3: Cross multiply
    528.45x = 792.20 × 204.06
  4. Step 4: Simplify right side
    528.45x = 161,655.31
  5. Step 5: Solve for x
    x = 161,655.31/528.45
  6. Step 6: Final answer
    x = 305.90

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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.