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Finding the Fourth Proportional to 314.55, 470.61 and 257.04

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Solution

The fourth proportional to 314.55, 470.61 and 257.04 is: 384.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.55 : 470.61 = 257.04 : x
  2. Step 2: Convert to fraction form
    314.55/470.61 = 257.04/x
  3. Step 3: Cross multiply
    314.55x = 470.61 × 257.04
  4. Step 4: Simplify right side
    314.55x = 120,965.59
  5. Step 5: Solve for x
    x = 120,965.59/314.55
  6. Step 6: Final answer
    x = 384.57

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