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Finding the Fourth Proportional to 538, 804.90 and 458.92

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Solution

The fourth proportional to 538, 804.90 and 458.92 is: 686.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    538 : 804.90 = 458.92 : x
  2. Step 2: Convert to fraction form
    538/804.90 = 458.92/x
  3. Step 3: Cross multiply
    538x = 804.90 × 458.92
  4. Step 4: Simplify right side
    538x = 369,384.71
  5. Step 5: Solve for x
    x = 369,384.71/538
  6. Step 6: Final answer
    x = 686.59

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