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Finding the Fourth Proportional to 334.40, 500.48 and 301.76

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Solution

The fourth proportional to 334.40, 500.48 and 301.76 is: 451.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.40 : 500.48 = 301.76 : x
  2. Step 2: Convert to fraction form
    334.40/500.48 = 301.76/x
  3. Step 3: Cross multiply
    334.40x = 500.48 × 301.76
  4. Step 4: Simplify right side
    334.40x = 151,024.84
  5. Step 5: Solve for x
    x = 151,024.84/334.40
  6. Step 6: Final answer
    x = 451.63

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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.