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Finding the Fourth Proportional to 527.67, 727.79 and 331.11

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Solution

The fourth proportional to 527.67, 727.79 and 331.11 is: 456.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.67 : 727.79 = 331.11 : x
  2. Step 2: Convert to fraction form
    527.67/727.79 = 331.11/x
  3. Step 3: Cross multiply
    527.67x = 727.79 × 331.11
  4. Step 4: Simplify right side
    527.67x = 240,976.89
  5. Step 5: Solve for x
    x = 240,976.89/527.67
  6. Step 6: Final answer
    x = 456.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.