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Finding the Fourth Proportional to 506.67, 759.41 and 214.11

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Solution

The fourth proportional to 506.67, 759.41 and 214.11 is: 320.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.67 : 759.41 = 214.11 : x
  2. Step 2: Convert to fraction form
    506.67/759.41 = 214.11/x
  3. Step 3: Cross multiply
    506.67x = 759.41 × 214.11
  4. Step 4: Simplify right side
    506.67x = 162,597.28
  5. Step 5: Solve for x
    x = 162,597.28/506.67
  6. Step 6: Final answer
    x = 320.91

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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.