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Finding the Fourth Proportional to 402.88, 603.48 and 257.86

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Solution

The fourth proportional to 402.88, 603.48 and 257.86 is: 386.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.88 : 603.48 = 257.86 : x
  2. Step 2: Convert to fraction form
    402.88/603.48 = 257.86/x
  3. Step 3: Cross multiply
    402.88x = 603.48 × 257.86
  4. Step 4: Simplify right side
    402.88x = 155,613.35
  5. Step 5: Solve for x
    x = 155,613.35/402.88
  6. Step 6: Final answer
    x = 386.25

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