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Finding the Fourth Proportional to 564, 846.32 and 260

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Solution

The fourth proportional to 564, 846.32 and 260 is: 390.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    564 : 846.32 = 260 : x
  2. Step 2: Convert to fraction form
    564/846.32 = 260/x
  3. Step 3: Cross multiply
    564x = 846.32 × 260
  4. Step 4: Simplify right side
    564x = 220,043.20
  5. Step 5: Solve for x
    x = 220,043.20/564
  6. Step 6: Final answer
    x = 390.15

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