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Finding the Fourth Proportional to 334.04, 461.63 and 285.44

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Solution

The fourth proportional to 334.04, 461.63 and 285.44 is: 394.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.04 : 461.63 = 285.44 : x
  2. Step 2: Convert to fraction form
    334.04/461.63 = 285.44/x
  3. Step 3: Cross multiply
    334.04x = 461.63 × 285.44
  4. Step 4: Simplify right side
    334.04x = 131,766.07
  5. Step 5: Solve for x
    x = 131,766.07/334.04
  6. Step 6: Final answer
    x = 394.47

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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.