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Finding the Fourth Proportional to 527.31, 727.38 and 306.23

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Solution

The fourth proportional to 527.31, 727.38 and 306.23 is: 422.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.31 : 727.38 = 306.23 : x
  2. Step 2: Convert to fraction form
    527.31/727.38 = 306.23/x
  3. Step 3: Cross multiply
    527.31x = 727.38 × 306.23
  4. Step 4: Simplify right side
    527.31x = 222,746.03
  5. Step 5: Solve for x
    x = 222,746.03/527.31
  6. Step 6: Final answer
    x = 422.42

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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.