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Finding the Fourth Proportional to 527.99, 791.47 and 253.92

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Solution

The fourth proportional to 527.99, 791.47 and 253.92 is: 380.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.99 : 791.47 = 253.92 : x
  2. Step 2: Convert to fraction form
    527.99/791.47 = 253.92/x
  3. Step 3: Cross multiply
    527.99x = 791.47 × 253.92
  4. Step 4: Simplify right side
    527.99x = 200,970.06
  5. Step 5: Solve for x
    x = 200,970.06/527.99
  6. Step 6: Final answer
    x = 380.63

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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.