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Finding the Fourth Proportional to 461.77, 692.65 and 384.78

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Solution

The fourth proportional to 461.77, 692.65 and 384.78 is: 577.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.77 : 692.65 = 384.78 : x
  2. Step 2: Convert to fraction form
    461.77/692.65 = 384.78/x
  3. Step 3: Cross multiply
    461.77x = 692.65 × 384.78
  4. Step 4: Simplify right side
    461.77x = 266,520.95
  5. Step 5: Solve for x
    x = 266,520.95/461.77
  6. Step 6: Final answer
    x = 577.18

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