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Finding the Fourth Proportional to 304.10, 455.12 and 255.41

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Solution

The fourth proportional to 304.10, 455.12 and 255.41 is: 382.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.10 : 455.12 = 255.41 : x
  2. Step 2: Convert to fraction form
    304.10/455.12 = 255.41/x
  3. Step 3: Cross multiply
    304.10x = 455.12 × 255.41
  4. Step 4: Simplify right side
    304.10x = 116,240.56
  5. Step 5: Solve for x
    x = 116,240.56/304.10
  6. Step 6: Final answer
    x = 382.24

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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.