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Finding the Fourth Proportional to 313.36, 432.24 and 239.44

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Solution

The fourth proportional to 313.36, 432.24 and 239.44 is: 330.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.36 : 432.24 = 239.44 : x
  2. Step 2: Convert to fraction form
    313.36/432.24 = 239.44/x
  3. Step 3: Cross multiply
    313.36x = 432.24 × 239.44
  4. Step 4: Simplify right side
    313.36x = 103,495.55
  5. Step 5: Solve for x
    x = 103,495.55/313.36
  6. Step 6: Final answer
    x = 330.28

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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.