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Finding the Fourth Proportional to 784.05, 1,176.69 and 297.24

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Solution

The fourth proportional to 784.05, 1,176.69 and 297.24 is: 446.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.05 : 1,176.69 = 297.24 : x
  2. Step 2: Convert to fraction form
    784.05/1,176.69 = 297.24/x
  3. Step 3: Cross multiply
    784.05x = 1,176.69 × 297.24
  4. Step 4: Simplify right side
    784.05x = 349,759.34
  5. Step 5: Solve for x
    x = 349,759.34/784.05
  6. Step 6: Final answer
    x = 446.09

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