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Finding the Fourth Proportional to 305.76, 459 and 255

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Solution

The fourth proportional to 305.76, 459 and 255 is: 382.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.76 : 459 = 255 : x
  2. Step 2: Convert to fraction form
    305.76/459 = 255/x
  3. Step 3: Cross multiply
    305.76x = 459 × 255
  4. Step 4: Simplify right side
    305.76x = 117,045
  5. Step 5: Solve for x
    x = 117,045/305.76
  6. Step 6: Final answer
    x = 382.80

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