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Finding the Fourth Proportional to 334.70, 461.81 and 210.38

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Solution

The fourth proportional to 334.70, 461.81 and 210.38 is: 290.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.70 : 461.81 = 210.38 : x
  2. Step 2: Convert to fraction form
    334.70/461.81 = 210.38/x
  3. Step 3: Cross multiply
    334.70x = 461.81 × 210.38
  4. Step 4: Simplify right side
    334.70x = 97,154.54
  5. Step 5: Solve for x
    x = 97,154.54/334.70
  6. Step 6: Final answer
    x = 290.28

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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.