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Finding the Fourth Proportional to 430.99, 646.19 and 257.22

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Solution

The fourth proportional to 430.99, 646.19 and 257.22 is: 385.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.99 : 646.19 = 257.22 : x
  2. Step 2: Convert to fraction form
    430.99/646.19 = 257.22/x
  3. Step 3: Cross multiply
    430.99x = 646.19 × 257.22
  4. Step 4: Simplify right side
    430.99x = 166,212.99
  5. Step 5: Solve for x
    x = 166,212.99/430.99
  6. Step 6: Final answer
    x = 385.65

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