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Finding the Fourth Proportional to 569.52, 785.90 and 320.78

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Solution

The fourth proportional to 569.52, 785.90 and 320.78 is: 442.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.52 : 785.90 = 320.78 : x
  2. Step 2: Convert to fraction form
    569.52/785.90 = 320.78/x
  3. Step 3: Cross multiply
    569.52x = 785.90 × 320.78
  4. Step 4: Simplify right side
    569.52x = 252,101.00
  5. Step 5: Solve for x
    x = 252,101.00/569.52
  6. Step 6: Final answer
    x = 442.66

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