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Finding the Fourth Proportional to 481.48, 664.58 and 307.08

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Solution

The fourth proportional to 481.48, 664.58 and 307.08 is: 423.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.48 : 664.58 = 307.08 : x
  2. Step 2: Convert to fraction form
    481.48/664.58 = 307.08/x
  3. Step 3: Cross multiply
    481.48x = 664.58 × 307.08
  4. Step 4: Simplify right side
    481.48x = 204,079.23
  5. Step 5: Solve for x
    x = 204,079.23/481.48
  6. Step 6: Final answer
    x = 423.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.