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Finding the Fourth Proportional to 430.02, 644.69 and 213.75

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Solution

The fourth proportional to 430.02, 644.69 and 213.75 is: 320.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.02 : 644.69 = 213.75 : x
  2. Step 2: Convert to fraction form
    430.02/644.69 = 213.75/x
  3. Step 3: Cross multiply
    430.02x = 644.69 × 213.75
  4. Step 4: Simplify right side
    430.02x = 137,802.49
  5. Step 5: Solve for x
    x = 137,802.49/430.02
  6. Step 6: Final answer
    x = 320.46

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