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Finding the Fourth Proportional to 505.27, 697.45 and 306.11

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Solution

The fourth proportional to 505.27, 697.45 and 306.11 is: 422.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.27 : 697.45 = 306.11 : x
  2. Step 2: Convert to fraction form
    505.27/697.45 = 306.11/x
  3. Step 3: Cross multiply
    505.27x = 697.45 × 306.11
  4. Step 4: Simplify right side
    505.27x = 213,493.15
  5. Step 5: Solve for x
    x = 213,493.15/505.27
  6. Step 6: Final answer
    x = 422.53

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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.