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Finding the Fourth Proportional to 304.83, 420.49 and 230.92

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Solution

The fourth proportional to 304.83, 420.49 and 230.92 is: 318.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.83 : 420.49 = 230.92 : x
  2. Step 2: Convert to fraction form
    304.83/420.49 = 230.92/x
  3. Step 3: Cross multiply
    304.83x = 420.49 × 230.92
  4. Step 4: Simplify right side
    304.83x = 97,097.92
  5. Step 5: Solve for x
    x = 97,097.92/304.83
  6. Step 6: Final answer
    x = 318.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.