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Finding the Fourth Proportional to 334.29, 461.61 and 210.17

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Solution

The fourth proportional to 334.29, 461.61 and 210.17 is: 290.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.29 : 461.61 = 210.17 : x
  2. Step 2: Convert to fraction form
    334.29/461.61 = 210.17/x
  3. Step 3: Cross multiply
    334.29x = 461.61 × 210.17
  4. Step 4: Simplify right side
    334.29x = 97,014.27
  5. Step 5: Solve for x
    x = 97,014.27/334.29
  6. Step 6: Final answer
    x = 290.21

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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.