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Finding the Fourth Proportional to 527.43, 727.74 and 306.30

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Solution

The fourth proportional to 527.43, 727.74 and 306.30 is: 422.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.43 : 727.74 = 306.30 : x
  2. Step 2: Convert to fraction form
    527.43/727.74 = 306.30/x
  3. Step 3: Cross multiply
    527.43x = 727.74 × 306.30
  4. Step 4: Simplify right side
    527.43x = 222,906.76
  5. Step 5: Solve for x
    x = 222,906.76/527.43
  6. Step 6: Final answer
    x = 422.63

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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.