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Finding the Fourth Proportional to 294.09, 405.66 and 209.91

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Solution

The fourth proportional to 294.09, 405.66 and 209.91 is: 289.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.09 : 405.66 = 209.91 : x
  2. Step 2: Convert to fraction form
    294.09/405.66 = 209.91/x
  3. Step 3: Cross multiply
    294.09x = 405.66 × 209.91
  4. Step 4: Simplify right side
    294.09x = 85,152.09
  5. Step 5: Solve for x
    x = 85,152.09/294.09
  6. Step 6: Final answer
    x = 289.54

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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.