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Finding the Fourth Proportional to 429.40, 643.58 and 185.64

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Solution

The fourth proportional to 429.40, 643.58 and 185.64 is: 278.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.40 : 643.58 = 185.64 : x
  2. Step 2: Convert to fraction form
    429.40/643.58 = 185.64/x
  3. Step 3: Cross multiply
    429.40x = 643.58 × 185.64
  4. Step 4: Simplify right side
    429.40x = 119,474.19
  5. Step 5: Solve for x
    x = 119,474.19/429.40
  6. Step 6: Final answer
    x = 278.24

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