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Finding the Fourth Proportional to 528.95, 792.95 and 204.56

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Solution

The fourth proportional to 528.95, 792.95 and 204.56 is: 306.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.95 : 792.95 = 204.56 : x
  2. Step 2: Convert to fraction form
    528.95/792.95 = 204.56/x
  3. Step 3: Cross multiply
    528.95x = 792.95 × 204.56
  4. Step 4: Simplify right side
    528.95x = 162,204.83
  5. Step 5: Solve for x
    x = 162,204.83/528.95
  6. Step 6: Final answer
    x = 306.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.