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Finding the Fourth Proportional to 512.02, 767.55 and 407.65

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Solution

The fourth proportional to 512.02, 767.55 and 407.65 is: 611.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.02 : 767.55 = 407.65 : x
  2. Step 2: Convert to fraction form
    512.02/767.55 = 407.65/x
  3. Step 3: Cross multiply
    512.02x = 767.55 × 407.65
  4. Step 4: Simplify right side
    512.02x = 312,887.92
  5. Step 5: Solve for x
    x = 312,887.92/512.02
  6. Step 6: Final answer
    x = 611.09

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