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Finding the Fourth Proportional to 452.43, 678.84 and 257.40

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Solution

The fourth proportional to 452.43, 678.84 and 257.40 is: 386.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.43 : 678.84 = 257.40 : x
  2. Step 2: Convert to fraction form
    452.43/678.84 = 257.40/x
  3. Step 3: Cross multiply
    452.43x = 678.84 × 257.40
  4. Step 4: Simplify right side
    452.43x = 174,733.42
  5. Step 5: Solve for x
    x = 174,733.42/452.43
  6. Step 6: Final answer
    x = 386.21

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