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Finding the Fourth Proportional to 430.09, 644.40 and 314.37

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Solution

The fourth proportional to 430.09, 644.40 and 314.37 is: 471.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.09 : 644.40 = 314.37 : x
  2. Step 2: Convert to fraction form
    430.09/644.40 = 314.37/x
  3. Step 3: Cross multiply
    430.09x = 644.40 × 314.37
  4. Step 4: Simplify right side
    430.09x = 202,576.81
  5. Step 5: Solve for x
    x = 202,576.81/430.09
  6. Step 6: Final answer
    x = 471.02

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