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Finding the Fourth Proportional to 495.84, 684.19 and 296.61

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Solution

The fourth proportional to 495.84, 684.19 and 296.61 is: 409.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.84 : 684.19 = 296.61 : x
  2. Step 2: Convert to fraction form
    495.84/684.19 = 296.61/x
  3. Step 3: Cross multiply
    495.84x = 684.19 × 296.61
  4. Step 4: Simplify right side
    495.84x = 202,937.60
  5. Step 5: Solve for x
    x = 202,937.60/495.84
  6. Step 6: Final answer
    x = 409.28

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