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Finding the Fourth Proportional to 474.44, 710.28 and 301.31

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Solution

The fourth proportional to 474.44, 710.28 and 301.31 is: 451.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.44 : 710.28 = 301.31 : x
  2. Step 2: Convert to fraction form
    474.44/710.28 = 301.31/x
  3. Step 3: Cross multiply
    474.44x = 710.28 × 301.31
  4. Step 4: Simplify right side
    474.44x = 214,010.92
  5. Step 5: Solve for x
    x = 214,010.92/474.44
  6. Step 6: Final answer
    x = 451.09

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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.