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Finding the Fourth Proportional to 589.67, 813.76 and 341

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Solution

The fourth proportional to 589.67, 813.76 and 341 is: 470.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.67 : 813.76 = 341 : x
  2. Step 2: Convert to fraction form
    589.67/813.76 = 341/x
  3. Step 3: Cross multiply
    589.67x = 813.76 × 341
  4. Step 4: Simplify right side
    589.67x = 277,492.16
  5. Step 5: Solve for x
    x = 277,492.16/589.67
  6. Step 6: Final answer
    x = 470.59

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