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Finding the Fourth Proportional to 369.97, 511.21 and 277.02

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Solution

The fourth proportional to 369.97, 511.21 and 277.02 is: 382.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.97 : 511.21 = 277.02 : x
  2. Step 2: Convert to fraction form
    369.97/511.21 = 277.02/x
  3. Step 3: Cross multiply
    369.97x = 511.21 × 277.02
  4. Step 4: Simplify right side
    369.97x = 141,615.74
  5. Step 5: Solve for x
    x = 141,615.74/369.97
  6. Step 6: Final answer
    x = 382.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.