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Finding the Fourth Proportional to 305.45, 457.31 and 233.09

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Solution

The fourth proportional to 305.45, 457.31 and 233.09 is: 348.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.45 : 457.31 = 233.09 : x
  2. Step 2: Convert to fraction form
    305.45/457.31 = 233.09/x
  3. Step 3: Cross multiply
    305.45x = 457.31 × 233.09
  4. Step 4: Simplify right side
    305.45x = 106,592.68
  5. Step 5: Solve for x
    x = 106,592.68/305.45
  6. Step 6: Final answer
    x = 348.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.