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Finding the Fourth Proportional to 304.92, 419.58 and 263.27

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Solution

The fourth proportional to 304.92, 419.58 and 263.27 is: 362.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.92 : 419.58 = 263.27 : x
  2. Step 2: Convert to fraction form
    304.92/419.58 = 263.27/x
  3. Step 3: Cross multiply
    304.92x = 419.58 × 263.27
  4. Step 4: Simplify right side
    304.92x = 110,463.88
  5. Step 5: Solve for x
    x = 110,463.88/304.92
  6. Step 6: Final answer
    x = 362.27

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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.