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Finding the Fourth Proportional to 430.02, 644.54 and 186.68

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Solution

The fourth proportional to 430.02, 644.54 and 186.68 is: 279.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.02 : 644.54 = 186.68 : x
  2. Step 2: Convert to fraction form
    430.02/644.54 = 186.68/x
  3. Step 3: Cross multiply
    430.02x = 644.54 × 186.68
  4. Step 4: Simplify right side
    430.02x = 120,322.73
  5. Step 5: Solve for x
    x = 120,322.73/430.02
  6. Step 6: Final answer
    x = 279.81

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