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Finding the Fourth Proportional to 304.65, 458.62 and 232.83

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Solution

The fourth proportional to 304.65, 458.62 and 232.83 is: 350.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.65 : 458.62 = 232.83 : x
  2. Step 2: Convert to fraction form
    304.65/458.62 = 232.83/x
  3. Step 3: Cross multiply
    304.65x = 458.62 × 232.83
  4. Step 4: Simplify right side
    304.65x = 106,779.91
  5. Step 5: Solve for x
    x = 106,779.91/304.65
  6. Step 6: Final answer
    x = 350.50

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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.