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Finding the Fourth Proportional to 647.20, 970.08 and 256.96

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Solution

The fourth proportional to 647.20, 970.08 and 256.96 is: 385.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.20 : 970.08 = 256.96 : x
  2. Step 2: Convert to fraction form
    647.20/970.08 = 256.96/x
  3. Step 3: Cross multiply
    647.20x = 970.08 × 256.96
  4. Step 4: Simplify right side
    647.20x = 249,271.76
  5. Step 5: Solve for x
    x = 249,271.76/647.20
  6. Step 6: Final answer
    x = 385.15

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