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Finding the Fourth Proportional to 527.30, 727.50 and 306.14

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Solution

The fourth proportional to 527.30, 727.50 and 306.14 is: 422.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.30 : 727.50 = 306.14 : x
  2. Step 2: Convert to fraction form
    527.30/727.50 = 306.14/x
  3. Step 3: Cross multiply
    527.30x = 727.50 × 306.14
  4. Step 4: Simplify right side
    527.30x = 222,716.85
  5. Step 5: Solve for x
    x = 222,716.85/527.30
  6. Step 6: Final answer
    x = 422.37

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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.