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Finding the Fourth Proportional to 484.84, 668.92 and 277.84

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Solution

The fourth proportional to 484.84, 668.92 and 277.84 is: 383.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.84 : 668.92 = 277.84 : x
  2. Step 2: Convert to fraction form
    484.84/668.92 = 277.84/x
  3. Step 3: Cross multiply
    484.84x = 668.92 × 277.84
  4. Step 4: Simplify right side
    484.84x = 185,852.73
  5. Step 5: Solve for x
    x = 185,852.73/484.84
  6. Step 6: Final answer
    x = 383.33

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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.