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Finding the Fourth Proportional to 339.97, 469.08 and 235.15

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Solution

The fourth proportional to 339.97, 469.08 and 235.15 is: 324.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.97 : 469.08 = 235.15 : x
  2. Step 2: Convert to fraction form
    339.97/469.08 = 235.15/x
  3. Step 3: Cross multiply
    339.97x = 469.08 × 235.15
  4. Step 4: Simplify right side
    339.97x = 110,304.16
  5. Step 5: Solve for x
    x = 110,304.16/339.97
  6. Step 6: Final answer
    x = 324.45

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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.