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Finding the Fourth Proportional to 331.68, 455.25 and 295.94

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Solution

The fourth proportional to 331.68, 455.25 and 295.94 is: 406.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.68 : 455.25 = 295.94 : x
  2. Step 2: Convert to fraction form
    331.68/455.25 = 295.94/x
  3. Step 3: Cross multiply
    331.68x = 455.25 × 295.94
  4. Step 4: Simplify right side
    331.68x = 134,724.41
  5. Step 5: Solve for x
    x = 134,724.41/331.68
  6. Step 6: Final answer
    x = 406.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.