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Finding the Fourth Proportional to 375.76, 564.05 and 277.95

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Solution

The fourth proportional to 375.76, 564.05 and 277.95 is: 417.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.76 : 564.05 = 277.95 : x
  2. Step 2: Convert to fraction form
    375.76/564.05 = 277.95/x
  3. Step 3: Cross multiply
    375.76x = 564.05 × 277.95
  4. Step 4: Simplify right side
    375.76x = 156,778.94
  5. Step 5: Solve for x
    x = 156,778.94/375.76
  6. Step 6: Final answer
    x = 417.23

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