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Finding the Fourth Proportional to 645.20, 966.90 and 260

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Solution

The fourth proportional to 645.20, 966.90 and 260 is: 389.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.20 : 966.90 = 260 : x
  2. Step 2: Convert to fraction form
    645.20/966.90 = 260/x
  3. Step 3: Cross multiply
    645.20x = 966.90 × 260
  4. Step 4: Simplify right side
    645.20x = 251,394
  5. Step 5: Solve for x
    x = 251,394/645.20
  6. Step 6: Final answer
    x = 389.64

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