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Finding the Fourth Proportional to 339.80, 469.16 and 235.07

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Solution

The fourth proportional to 339.80, 469.16 and 235.07 is: 324.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.80 : 469.16 = 235.07 : x
  2. Step 2: Convert to fraction form
    339.80/469.16 = 235.07/x
  3. Step 3: Cross multiply
    339.80x = 469.16 × 235.07
  4. Step 4: Simplify right side
    339.80x = 110,285.44
  5. Step 5: Solve for x
    x = 110,285.44/339.80
  6. Step 6: Final answer
    x = 324.56

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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.