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Finding the Fourth Proportional to 481.00, 663.54 and 301.51

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Solution

The fourth proportional to 481.00, 663.54 and 301.51 is: 415.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.00 : 663.54 = 301.51 : x
  2. Step 2: Convert to fraction form
    481.00/663.54 = 301.51/x
  3. Step 3: Cross multiply
    481.00x = 663.54 × 301.51
  4. Step 4: Simplify right side
    481.00x = 200,064.21
  5. Step 5: Solve for x
    x = 200,064.21/481.00
  6. Step 6: Final answer
    x = 415.94

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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.