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Finding the Fourth Proportional to 334.94, 462.27 and 210.61

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Solution

The fourth proportional to 334.94, 462.27 and 210.61 is: 290.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.94 : 462.27 = 210.61 : x
  2. Step 2: Convert to fraction form
    334.94/462.27 = 210.61/x
  3. Step 3: Cross multiply
    334.94x = 462.27 × 210.61
  4. Step 4: Simplify right side
    334.94x = 97,359.58
  5. Step 5: Solve for x
    x = 97,359.58/334.94
  6. Step 6: Final answer
    x = 290.68

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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.