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Finding the Fourth Proportional to 647.58, 970.91 and 257.27

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Solution

The fourth proportional to 647.58, 970.91 and 257.27 is: 385.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.58 : 970.91 = 257.27 : x
  2. Step 2: Convert to fraction form
    647.58/970.91 = 257.27/x
  3. Step 3: Cross multiply
    647.58x = 970.91 × 257.27
  4. Step 4: Simplify right side
    647.58x = 249,779.87
  5. Step 5: Solve for x
    x = 249,779.87/647.58
  6. Step 6: Final answer
    x = 385.71

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