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Finding the Fourth Proportional to 301.58, 415.67 and 239.12

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Solution

The fourth proportional to 301.58, 415.67 and 239.12 is: 329.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.58 : 415.67 = 239.12 : x
  2. Step 2: Convert to fraction form
    301.58/415.67 = 239.12/x
  3. Step 3: Cross multiply
    301.58x = 415.67 × 239.12
  4. Step 4: Simplify right side
    301.58x = 99,395.01
  5. Step 5: Solve for x
    x = 99,395.01/301.58
  6. Step 6: Final answer
    x = 329.58

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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.