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Finding the Fourth Proportional to 585.05, 877.77 and 260.64

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Solution

The fourth proportional to 585.05, 877.77 and 260.64 is: 391.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.05 : 877.77 = 260.64 : x
  2. Step 2: Convert to fraction form
    585.05/877.77 = 260.64/x
  3. Step 3: Cross multiply
    585.05x = 877.77 × 260.64
  4. Step 4: Simplify right side
    585.05x = 228,781.97
  5. Step 5: Solve for x
    x = 228,781.97/585.05
  6. Step 6: Final answer
    x = 391.05

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