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Finding the Fourth Proportional to 506.21, 759.36 and 370.94

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Solution

The fourth proportional to 506.21, 759.36 and 370.94 is: 556.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.21 : 759.36 = 370.94 : x
  2. Step 2: Convert to fraction form
    506.21/759.36 = 370.94/x
  3. Step 3: Cross multiply
    506.21x = 759.36 × 370.94
  4. Step 4: Simplify right side
    506.21x = 281,677.00
  5. Step 5: Solve for x
    x = 281,677.00/506.21
  6. Step 6: Final answer
    x = 556.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.