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Finding the Fourth Proportional to 304.76, 456.71 and 179.82

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Solution

The fourth proportional to 304.76, 456.71 and 179.82 is: 269.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.76 : 456.71 = 179.82 : x
  2. Step 2: Convert to fraction form
    304.76/456.71 = 179.82/x
  3. Step 3: Cross multiply
    304.76x = 456.71 × 179.82
  4. Step 4: Simplify right side
    304.76x = 82,124.69
  5. Step 5: Solve for x
    x = 82,124.69/304.76
  6. Step 6: Final answer
    x = 269.47

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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.