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Finding the Fourth Proportional to 481.60, 664.06 and 381.84

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Solution

The fourth proportional to 481.60, 664.06 and 381.84 is: 526.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.60 : 664.06 = 381.84 : x
  2. Step 2: Convert to fraction form
    481.60/664.06 = 381.84/x
  3. Step 3: Cross multiply
    481.60x = 664.06 × 381.84
  4. Step 4: Simplify right side
    481.60x = 253,564.67
  5. Step 5: Solve for x
    x = 253,564.67/481.60
  6. Step 6: Final answer
    x = 526.50

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Why These Related Problems?

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