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Finding the Fourth Proportional to 585.80, 877.94 and 312.02

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Solution

The fourth proportional to 585.80, 877.94 and 312.02 is: 467.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.80 : 877.94 = 312.02 : x
  2. Step 2: Convert to fraction form
    585.80/877.94 = 312.02/x
  3. Step 3: Cross multiply
    585.80x = 877.94 × 312.02
  4. Step 4: Simplify right side
    585.80x = 273,934.84
  5. Step 5: Solve for x
    x = 273,934.84/585.80
  6. Step 6: Final answer
    x = 467.63

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