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Finding the Fourth Proportional to 587.78, 881.36 and 313.80

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Solution

The fourth proportional to 587.78, 881.36 and 313.80 is: 470.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.78 : 881.36 = 313.80 : x
  2. Step 2: Convert to fraction form
    587.78/881.36 = 313.80/x
  3. Step 3: Cross multiply
    587.78x = 881.36 × 313.80
  4. Step 4: Simplify right side
    587.78x = 276,570.77
  5. Step 5: Solve for x
    x = 276,570.77/587.78
  6. Step 6: Final answer
    x = 470.53

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