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Finding the Fourth Proportional to 521.96, 782.94 and 490.28

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Solution

The fourth proportional to 521.96, 782.94 and 490.28 is: 735.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.96 : 782.94 = 490.28 : x
  2. Step 2: Convert to fraction form
    521.96/782.94 = 490.28/x
  3. Step 3: Cross multiply
    521.96x = 782.94 × 490.28
  4. Step 4: Simplify right side
    521.96x = 383,859.82
  5. Step 5: Solve for x
    x = 383,859.82/521.96
  6. Step 6: Final answer
    x = 735.42

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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.