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Finding the Fourth Proportional to 320.06, 476.85 and 304.56

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Solution

The fourth proportional to 320.06, 476.85 and 304.56 is: 453.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.06 : 476.85 = 304.56 : x
  2. Step 2: Convert to fraction form
    320.06/476.85 = 304.56/x
  3. Step 3: Cross multiply
    320.06x = 476.85 × 304.56
  4. Step 4: Simplify right side
    320.06x = 145,229.44
  5. Step 5: Solve for x
    x = 145,229.44/320.06
  6. Step 6: Final answer
    x = 453.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.