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Finding the Fourth Proportional to 312.93, 430.65 and 257.45

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Solution

The fourth proportional to 312.93, 430.65 and 257.45 is: 354.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.93 : 430.65 = 257.45 : x
  2. Step 2: Convert to fraction form
    312.93/430.65 = 257.45/x
  3. Step 3: Cross multiply
    312.93x = 430.65 × 257.45
  4. Step 4: Simplify right side
    312.93x = 110,868.69
  5. Step 5: Solve for x
    x = 110,868.69/312.93
  6. Step 6: Final answer
    x = 354.29

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