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Finding the Fourth Proportional to 527.84, 791.52 and 333.06

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Solution

The fourth proportional to 527.84, 791.52 and 333.06 is: 499.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.84 : 791.52 = 333.06 : x
  2. Step 2: Convert to fraction form
    527.84/791.52 = 333.06/x
  3. Step 3: Cross multiply
    527.84x = 791.52 × 333.06
  4. Step 4: Simplify right side
    527.84x = 263,623.65
  5. Step 5: Solve for x
    x = 263,623.65/527.84
  6. Step 6: Final answer
    x = 499.44

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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.