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Finding the Fourth Proportional to 351.98, 484.67 and 278.06

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Solution

The fourth proportional to 351.98, 484.67 and 278.06 is: 382.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.98 : 484.67 = 278.06 : x
  2. Step 2: Convert to fraction form
    351.98/484.67 = 278.06/x
  3. Step 3: Cross multiply
    351.98x = 484.67 × 278.06
  4. Step 4: Simplify right side
    351.98x = 134,767.34
  5. Step 5: Solve for x
    x = 134,767.34/351.98
  6. Step 6: Final answer
    x = 382.88

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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.