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Finding the Fourth Proportional to 527.70, 791.54 and 253.64

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Solution

The fourth proportional to 527.70, 791.54 and 253.64 is: 380.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.70 : 791.54 = 253.64 : x
  2. Step 2: Convert to fraction form
    527.70/791.54 = 253.64/x
  3. Step 3: Cross multiply
    527.70x = 791.54 × 253.64
  4. Step 4: Simplify right side
    527.70x = 200,766.21
  5. Step 5: Solve for x
    x = 200,766.21/527.70
  6. Step 6: Final answer
    x = 380.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.