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Finding the Fourth Proportional to 506.06, 758.44 and 228.21

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Solution

The fourth proportional to 506.06, 758.44 and 228.21 is: 342.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.06 : 758.44 = 228.21 : x
  2. Step 2: Convert to fraction form
    506.06/758.44 = 228.21/x
  3. Step 3: Cross multiply
    506.06x = 758.44 × 228.21
  4. Step 4: Simplify right side
    506.06x = 173,085.30
  5. Step 5: Solve for x
    x = 173,085.30/506.06
  6. Step 6: Final answer
    x = 342.02

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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.