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Finding the Fourth Proportional to 469.76, 704.96 and 264.16

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Solution

The fourth proportional to 469.76, 704.96 and 264.16 is: 396.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.76 : 704.96 = 264.16 : x
  2. Step 2: Convert to fraction form
    469.76/704.96 = 264.16/x
  3. Step 3: Cross multiply
    469.76x = 704.96 × 264.16
  4. Step 4: Simplify right side
    469.76x = 186,222.23
  5. Step 5: Solve for x
    x = 186,222.23/469.76
  6. Step 6: Final answer
    x = 396.42

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