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Finding the Fourth Proportional to 334.94, 462.26 and 210.70

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Solution

The fourth proportional to 334.94, 462.26 and 210.70 is: 290.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.94 : 462.26 = 210.70 : x
  2. Step 2: Convert to fraction form
    334.94/462.26 = 210.70/x
  3. Step 3: Cross multiply
    334.94x = 462.26 × 210.70
  4. Step 4: Simplify right side
    334.94x = 97,394.82
  5. Step 5: Solve for x
    x = 97,394.82/334.94
  6. Step 6: Final answer
    x = 290.78

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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.