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Finding the Fourth Proportional to 340.20, 468.78 and 277.80

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Solution

The fourth proportional to 340.20, 468.78 and 277.80 is: 382.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.20 : 468.78 = 277.80 : x
  2. Step 2: Convert to fraction form
    340.20/468.78 = 277.80/x
  3. Step 3: Cross multiply
    340.20x = 468.78 × 277.80
  4. Step 4: Simplify right side
    340.20x = 130,227.08
  5. Step 5: Solve for x
    x = 130,227.08/340.20
  6. Step 6: Final answer
    x = 382.80

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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.