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Finding the Fourth Proportional to 334.07, 461.24 and 209.93

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Solution

The fourth proportional to 334.07, 461.24 and 209.93 is: 289.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.07 : 461.24 = 209.93 : x
  2. Step 2: Convert to fraction form
    334.07/461.24 = 209.93/x
  3. Step 3: Cross multiply
    334.07x = 461.24 × 209.93
  4. Step 4: Simplify right side
    334.07x = 96,826.73
  5. Step 5: Solve for x
    x = 96,826.73/334.07
  6. Step 6: Final answer
    x = 289.84

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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.