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Finding the Fourth Proportional to 527.65, 791.07 and 203.29

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Solution

The fourth proportional to 527.65, 791.07 and 203.29 is: 304.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.65 : 791.07 = 203.29 : x
  2. Step 2: Convert to fraction form
    527.65/791.07 = 203.29/x
  3. Step 3: Cross multiply
    527.65x = 791.07 × 203.29
  4. Step 4: Simplify right side
    527.65x = 160,816.62
  5. Step 5: Solve for x
    x = 160,816.62/527.65
  6. Step 6: Final answer
    x = 304.78

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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.