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Finding the Fourth Proportional to 527.73, 796.37 and 523.68

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Solution

The fourth proportional to 527.73, 796.37 and 523.68 is: 790.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.73 : 796.37 = 523.68 : x
  2. Step 2: Convert to fraction form
    527.73/796.37 = 523.68/x
  3. Step 3: Cross multiply
    527.73x = 796.37 × 523.68
  4. Step 4: Simplify right side
    527.73x = 417,040.42
  5. Step 5: Solve for x
    x = 417,040.42/527.73
  6. Step 6: Final answer
    x = 790.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.