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Finding the Fourth Proportional to 545.28, 816.60 and 256.80

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Solution

The fourth proportional to 545.28, 816.60 and 256.80 is: 384.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.28 : 816.60 = 256.80 : x
  2. Step 2: Convert to fraction form
    545.28/816.60 = 256.80/x
  3. Step 3: Cross multiply
    545.28x = 816.60 × 256.80
  4. Step 4: Simplify right side
    545.28x = 209,702.88
  5. Step 5: Solve for x
    x = 209,702.88/545.28
  6. Step 6: Final answer
    x = 384.58

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