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Finding the Fourth Proportional to 584.76, 875.20 and 419.80

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Solution

The fourth proportional to 584.76, 875.20 and 419.80 is: 628.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.76 : 875.20 = 419.80 : x
  2. Step 2: Convert to fraction form
    584.76/875.20 = 419.80/x
  3. Step 3: Cross multiply
    584.76x = 875.20 × 419.80
  4. Step 4: Simplify right side
    584.76x = 367,408.96
  5. Step 5: Solve for x
    x = 367,408.96/584.76
  6. Step 6: Final answer
    x = 628.31

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