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Finding the Fourth Proportional to 532.96, 735.40 and 311.76

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Solution

The fourth proportional to 532.96, 735.40 and 311.76 is: 430.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.96 : 735.40 = 311.76 : x
  2. Step 2: Convert to fraction form
    532.96/735.40 = 311.76/x
  3. Step 3: Cross multiply
    532.96x = 735.40 × 311.76
  4. Step 4: Simplify right side
    532.96x = 229,268.30
  5. Step 5: Solve for x
    x = 229,268.30/532.96
  6. Step 6: Final answer
    x = 430.18

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