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Finding the Fourth Proportional to 336.63, 465.41 and 254.16

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Solution

The fourth proportional to 336.63, 465.41 and 254.16 is: 351.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.63 : 465.41 = 254.16 : x
  2. Step 2: Convert to fraction form
    336.63/465.41 = 254.16/x
  3. Step 3: Cross multiply
    336.63x = 465.41 × 254.16
  4. Step 4: Simplify right side
    336.63x = 118,288.61
  5. Step 5: Solve for x
    x = 118,288.61/336.63
  6. Step 6: Final answer
    x = 351.39

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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.