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Finding the Fourth Proportional to 527.09, 727.25 and 306.05

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Solution

The fourth proportional to 527.09, 727.25 and 306.05 is: 422.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.09 : 727.25 = 306.05 : x
  2. Step 2: Convert to fraction form
    527.09/727.25 = 306.05/x
  3. Step 3: Cross multiply
    527.09x = 727.25 × 306.05
  4. Step 4: Simplify right side
    527.09x = 222,569.70
  5. Step 5: Solve for x
    x = 222,569.70/527.09
  6. Step 6: Final answer
    x = 422.27

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