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Finding the Fourth Proportional to 585.02, 877.60 and 194.93

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Solution

The fourth proportional to 585.02, 877.60 and 194.93 is: 292.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.02 : 877.60 = 194.93 : x
  2. Step 2: Convert to fraction form
    585.02/877.60 = 194.93/x
  3. Step 3: Cross multiply
    585.02x = 877.60 × 194.93
  4. Step 4: Simplify right side
    585.02x = 171,070.57
  5. Step 5: Solve for x
    x = 171,070.57/585.02
  6. Step 6: Final answer
    x = 292.42

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