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Finding the Fourth Proportional to 527.30, 791.00 and 440.73

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Solution

The fourth proportional to 527.30, 791.00 and 440.73 is: 661.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.30 : 791.00 = 440.73 : x
  2. Step 2: Convert to fraction form
    527.30/791.00 = 440.73/x
  3. Step 3: Cross multiply
    527.30x = 791.00 × 440.73
  4. Step 4: Simplify right side
    527.30x = 348,615.23
  5. Step 5: Solve for x
    x = 348,615.23/527.30
  6. Step 6: Final answer
    x = 661.14

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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.