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Finding the Fourth Proportional to 704.16, 970.72 and 538

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Solution

The fourth proportional to 704.16, 970.72 and 538 is: 741.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.16 : 970.72 = 538 : x
  2. Step 2: Convert to fraction form
    704.16/970.72 = 538/x
  3. Step 3: Cross multiply
    704.16x = 970.72 × 538
  4. Step 4: Simplify right side
    704.16x = 522,247.36
  5. Step 5: Solve for x
    x = 522,247.36/704.16
  6. Step 6: Final answer
    x = 741.66

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