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Finding the Fourth Proportional to 531.78, 797.76 and 257.70

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Solution

The fourth proportional to 531.78, 797.76 and 257.70 is: 386.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.78 : 797.76 = 257.70 : x
  2. Step 2: Convert to fraction form
    531.78/797.76 = 257.70/x
  3. Step 3: Cross multiply
    531.78x = 797.76 × 257.70
  4. Step 4: Simplify right side
    531.78x = 205,582.75
  5. Step 5: Solve for x
    x = 205,582.75/531.78
  6. Step 6: Final answer
    x = 386.59

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