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Finding the Fourth Proportional to 527.53, 791.41 and 202.99

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Solution

The fourth proportional to 527.53, 791.41 and 202.99 is: 304.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.53 : 791.41 = 202.99 : x
  2. Step 2: Convert to fraction form
    527.53/791.41 = 202.99/x
  3. Step 3: Cross multiply
    527.53x = 791.41 × 202.99
  4. Step 4: Simplify right side
    527.53x = 160,648.32
  5. Step 5: Solve for x
    x = 160,648.32/527.53
  6. Step 6: Final answer
    x = 304.53

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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.