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Finding the Fourth Proportional to 430.53, 645.78 and 187.23

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Solution

The fourth proportional to 430.53, 645.78 and 187.23 is: 280.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.53 : 645.78 = 187.23 : x
  2. Step 2: Convert to fraction form
    430.53/645.78 = 187.23/x
  3. Step 3: Cross multiply
    430.53x = 645.78 × 187.23
  4. Step 4: Simplify right side
    430.53x = 120,908.35
  5. Step 5: Solve for x
    x = 120,908.35/430.53
  6. Step 6: Final answer
    x = 280.83

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