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Finding the Fourth Proportional to 563.83, 777.80 and 353.77

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Solution

The fourth proportional to 563.83, 777.80 and 353.77 is: 488.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.83 : 777.80 = 353.77 : x
  2. Step 2: Convert to fraction form
    563.83/777.80 = 353.77/x
  3. Step 3: Cross multiply
    563.83x = 777.80 × 353.77
  4. Step 4: Simplify right side
    563.83x = 275,161.25
  5. Step 5: Solve for x
    x = 275,161.25/563.83
  6. Step 6: Final answer
    x = 488.02

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