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Finding the Fourth Proportional to 410.94, 616.53 and 194.64

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Solution

The fourth proportional to 410.94, 616.53 and 194.64 is: 292.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.94 : 616.53 = 194.64 : x
  2. Step 2: Convert to fraction form
    410.94/616.53 = 194.64/x
  3. Step 3: Cross multiply
    410.94x = 616.53 × 194.64
  4. Step 4: Simplify right side
    410.94x = 120,001.40
  5. Step 5: Solve for x
    x = 120,001.40/410.94
  6. Step 6: Final answer
    x = 292.02

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