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Finding the Fourth Proportional to 430.73, 645.93 and 257.75

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Solution

The fourth proportional to 430.73, 645.93 and 257.75 is: 386.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.73 : 645.93 = 257.75 : x
  2. Step 2: Convert to fraction form
    430.73/645.93 = 257.75/x
  3. Step 3: Cross multiply
    430.73x = 645.93 × 257.75
  4. Step 4: Simplify right side
    430.73x = 166,488.46
  5. Step 5: Solve for x
    x = 166,488.46/430.73
  6. Step 6: Final answer
    x = 386.53

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