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Finding the Fourth Proportional to 495.86, 684.36 and 296.76

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Solution

The fourth proportional to 495.86, 684.36 and 296.76 is: 409.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.86 : 684.36 = 296.76 : x
  2. Step 2: Convert to fraction form
    495.86/684.36 = 296.76/x
  3. Step 3: Cross multiply
    495.86x = 684.36 × 296.76
  4. Step 4: Simplify right side
    495.86x = 203,089.19
  5. Step 5: Solve for x
    x = 203,089.19/495.86
  6. Step 6: Final answer
    x = 409.57

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