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Finding the Fourth Proportional to 598.56, 897.84 and 213.72

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Solution

The fourth proportional to 598.56, 897.84 and 213.72 is: 320.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.56 : 897.84 = 213.72 : x
  2. Step 2: Convert to fraction form
    598.56/897.84 = 213.72/x
  3. Step 3: Cross multiply
    598.56x = 897.84 × 213.72
  4. Step 4: Simplify right side
    598.56x = 191,886.36
  5. Step 5: Solve for x
    x = 191,886.36/598.56
  6. Step 6: Final answer
    x = 320.58

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