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Finding the Fourth Proportional to 323.46, 447.66 and 258.66

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Solution

The fourth proportional to 323.46, 447.66 and 258.66 is: 357.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.46 : 447.66 = 258.66 : x
  2. Step 2: Convert to fraction form
    323.46/447.66 = 258.66/x
  3. Step 3: Cross multiply
    323.46x = 447.66 × 258.66
  4. Step 4: Simplify right side
    323.46x = 115,791.74
  5. Step 5: Solve for x
    x = 115,791.74/323.46
  6. Step 6: Final answer
    x = 357.98

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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.