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Finding the Fourth Proportional to 583.78, 875.66 and 213.60

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Solution

The fourth proportional to 583.78, 875.66 and 213.60 is: 320.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.78 : 875.66 = 213.60 : x
  2. Step 2: Convert to fraction form
    583.78/875.66 = 213.60/x
  3. Step 3: Cross multiply
    583.78x = 875.66 × 213.60
  4. Step 4: Simplify right side
    583.78x = 187,040.98
  5. Step 5: Solve for x
    x = 187,040.98/583.78
  6. Step 6: Final answer
    x = 320.40

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