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Finding the Fourth Proportional to 597.84, 896.58 and 213

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Solution

The fourth proportional to 597.84, 896.58 and 213 is: 319.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.84 : 896.58 = 213 : x
  2. Step 2: Convert to fraction form
    597.84/896.58 = 213/x
  3. Step 3: Cross multiply
    597.84x = 896.58 × 213
  4. Step 4: Simplify right side
    597.84x = 190,971.54
  5. Step 5: Solve for x
    x = 190,971.54/597.84
  6. Step 6: Final answer
    x = 319.44

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