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Finding the Fourth Proportional to 584.55, 876.60 and 259.70

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Solution

The fourth proportional to 584.55, 876.60 and 259.70 is: 389.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.55 : 876.60 = 259.70 : x
  2. Step 2: Convert to fraction form
    584.55/876.60 = 259.70/x
  3. Step 3: Cross multiply
    584.55x = 876.60 × 259.70
  4. Step 4: Simplify right side
    584.55x = 227,648.64
  5. Step 5: Solve for x
    x = 227,648.64/584.55
  6. Step 6: Final answer
    x = 389.44

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