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Finding the Fourth Proportional to 527.95, 792.11 and 333.09

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Solution

The fourth proportional to 527.95, 792.11 and 333.09 is: 499.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.95 : 792.11 = 333.09 : x
  2. Step 2: Convert to fraction form
    527.95/792.11 = 333.09/x
  3. Step 3: Cross multiply
    527.95x = 792.11 × 333.09
  4. Step 4: Simplify right side
    527.95x = 263,843.92
  5. Step 5: Solve for x
    x = 263,843.92/527.95
  6. Step 6: Final answer
    x = 499.75

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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.