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Finding the Fourth Proportional to 484.17, 668.07 and 277.17

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Solution

The fourth proportional to 484.17, 668.07 and 277.17 is: 382.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.17 : 668.07 = 277.17 : x
  2. Step 2: Convert to fraction form
    484.17/668.07 = 277.17/x
  3. Step 3: Cross multiply
    484.17x = 668.07 × 277.17
  4. Step 4: Simplify right side
    484.17x = 185,168.96
  5. Step 5: Solve for x
    x = 185,168.96/484.17
  6. Step 6: Final answer
    x = 382.45

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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.