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Finding the Fourth Proportional to 409.78, 614.61 and 341.74

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Solution

The fourth proportional to 409.78, 614.61 and 341.74 is: 512.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.78 : 614.61 = 341.74 : x
  2. Step 2: Convert to fraction form
    409.78/614.61 = 341.74/x
  3. Step 3: Cross multiply
    409.78x = 614.61 × 341.74
  4. Step 4: Simplify right side
    409.78x = 210,036.82
  5. Step 5: Solve for x
    x = 210,036.82/409.78
  6. Step 6: Final answer
    x = 512.56

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