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Finding the Fourth Proportional to 339.60, 511.24 and 232.06

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Solution

The fourth proportional to 339.60, 511.24 and 232.06 is: 349.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.60 : 511.24 = 232.06 : x
  2. Step 2: Convert to fraction form
    339.60/511.24 = 232.06/x
  3. Step 3: Cross multiply
    339.60x = 511.24 × 232.06
  4. Step 4: Simplify right side
    339.60x = 118,638.35
  5. Step 5: Solve for x
    x = 118,638.35/339.60
  6. Step 6: Final answer
    x = 349.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.