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Finding the Fourth Proportional to 521.36, 782.12 and 247.56

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Solution

The fourth proportional to 521.36, 782.12 and 247.56 is: 371.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.36 : 782.12 = 247.56 : x
  2. Step 2: Convert to fraction form
    521.36/782.12 = 247.56/x
  3. Step 3: Cross multiply
    521.36x = 782.12 × 247.56
  4. Step 4: Simplify right side
    521.36x = 193,621.63
  5. Step 5: Solve for x
    x = 193,621.63/521.36
  6. Step 6: Final answer
    x = 371.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.