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Finding the Fourth Proportional to 277.73, 416.30 and 209.04

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Solution

The fourth proportional to 277.73, 416.30 and 209.04 is: 313.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.73 : 416.30 = 209.04 : x
  2. Step 2: Convert to fraction form
    277.73/416.30 = 209.04/x
  3. Step 3: Cross multiply
    277.73x = 416.30 × 209.04
  4. Step 4: Simplify right side
    277.73x = 87,023.35
  5. Step 5: Solve for x
    x = 87,023.35/277.73
  6. Step 6: Final answer
    x = 313.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.