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Finding the Fourth Proportional to 800.56, 1,199.22 and 415

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Solution

The fourth proportional to 800.56, 1,199.22 and 415 is: 621.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.56 : 1,199.22 = 415 : x
  2. Step 2: Convert to fraction form
    800.56/1,199.22 = 415/x
  3. Step 3: Cross multiply
    800.56x = 1,199.22 × 415
  4. Step 4: Simplify right side
    800.56x = 497,676.30
  5. Step 5: Solve for x
    x = 497,676.30/800.56
  6. Step 6: Final answer
    x = 621.66

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