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Finding the Fourth Proportional to 560, 840.32 and 256

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Solution

The fourth proportional to 560, 840.32 and 256 is: 384.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    560 : 840.32 = 256 : x
  2. Step 2: Convert to fraction form
    560/840.32 = 256/x
  3. Step 3: Cross multiply
    560x = 840.32 × 256
  4. Step 4: Simplify right side
    560x = 215,121.92
  5. Step 5: Solve for x
    x = 215,121.92/560
  6. Step 6: Final answer
    x = 384.15

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