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Finding the Fourth Proportional to 304.98, 457.34 and 232.62

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Solution

The fourth proportional to 304.98, 457.34 and 232.62 is: 348.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.98 : 457.34 = 232.62 : x
  2. Step 2: Convert to fraction form
    304.98/457.34 = 232.62/x
  3. Step 3: Cross multiply
    304.98x = 457.34 × 232.62
  4. Step 4: Simplify right side
    304.98x = 106,385.27
  5. Step 5: Solve for x
    x = 106,385.27/304.98
  6. Step 6: Final answer
    x = 348.83

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