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Finding the Fourth Proportional to 377.71, 565.38 and 259.89

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Solution

The fourth proportional to 377.71, 565.38 and 259.89 is: 389.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.71 : 565.38 = 259.89 : x
  2. Step 2: Convert to fraction form
    377.71/565.38 = 259.89/x
  3. Step 3: Cross multiply
    377.71x = 565.38 × 259.89
  4. Step 4: Simplify right side
    377.71x = 146,933.39
  5. Step 5: Solve for x
    x = 146,933.39/377.71
  6. Step 6: Final answer
    x = 389.01

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