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Finding the Fourth Proportional to 334.35, 461.46 and 210.06

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Solution

The fourth proportional to 334.35, 461.46 and 210.06 is: 289.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.35 : 461.46 = 210.06 : x
  2. Step 2: Convert to fraction form
    334.35/461.46 = 210.06/x
  3. Step 3: Cross multiply
    334.35x = 461.46 × 210.06
  4. Step 4: Simplify right side
    334.35x = 96,934.29
  5. Step 5: Solve for x
    x = 96,934.29/334.35
  6. Step 6: Final answer
    x = 289.92

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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.