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Finding the Fourth Proportional to 461.13, 692.16 and 255.88

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Solution

The fourth proportional to 461.13, 692.16 and 255.88 is: 384.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.13 : 692.16 = 255.88 : x
  2. Step 2: Convert to fraction form
    461.13/692.16 = 255.88/x
  3. Step 3: Cross multiply
    461.13x = 692.16 × 255.88
  4. Step 4: Simplify right side
    461.13x = 177,109.90
  5. Step 5: Solve for x
    x = 177,109.90/461.13
  6. Step 6: Final answer
    x = 384.08

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