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Finding the Fourth Proportional to 334.21, 500.49 and 306.46

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Solution

The fourth proportional to 334.21, 500.49 and 306.46 is: 458.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.21 : 500.49 = 306.46 : x
  2. Step 2: Convert to fraction form
    334.21/500.49 = 306.46/x
  3. Step 3: Cross multiply
    334.21x = 500.49 × 306.46
  4. Step 4: Simplify right side
    334.21x = 153,380.17
  5. Step 5: Solve for x
    x = 153,380.17/334.21
  6. Step 6: Final answer
    x = 458.93

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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.