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Finding the Fourth Proportional to 493.01, 680.64 and 382.28

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Solution

The fourth proportional to 493.01, 680.64 and 382.28 is: 527.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.01 : 680.64 = 382.28 : x
  2. Step 2: Convert to fraction form
    493.01/680.64 = 382.28/x
  3. Step 3: Cross multiply
    493.01x = 680.64 × 382.28
  4. Step 4: Simplify right side
    493.01x = 260,195.06
  5. Step 5: Solve for x
    x = 260,195.06/493.01
  6. Step 6: Final answer
    x = 527.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.