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Finding the Fourth Proportional to 527.26, 727.62 and 306.22

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Solution

The fourth proportional to 527.26, 727.62 and 306.22 is: 422.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.26 : 727.62 = 306.22 : x
  2. Step 2: Convert to fraction form
    527.26/727.62 = 306.22/x
  3. Step 3: Cross multiply
    527.26x = 727.62 × 306.22
  4. Step 4: Simplify right side
    527.26x = 222,808.25
  5. Step 5: Solve for x
    x = 222,808.25/527.26
  6. Step 6: Final answer
    x = 422.57

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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.