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Finding the Fourth Proportional to 430.94, 646.33 and 138.48

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Solution

The fourth proportional to 430.94, 646.33 and 138.48 is: 207.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.94 : 646.33 = 138.48 : x
  2. Step 2: Convert to fraction form
    430.94/646.33 = 138.48/x
  3. Step 3: Cross multiply
    430.94x = 646.33 × 138.48
  4. Step 4: Simplify right side
    430.94x = 89,499.85
  5. Step 5: Solve for x
    x = 89,499.85/430.94
  6. Step 6: Final answer
    x = 207.69

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