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Finding the Fourth Proportional to 493.20, 680.54 and 476.64

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Solution

The fourth proportional to 493.20, 680.54 and 476.64 is: 657.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.20 : 680.54 = 476.64 : x
  2. Step 2: Convert to fraction form
    493.20/680.54 = 476.64/x
  3. Step 3: Cross multiply
    493.20x = 680.54 × 476.64
  4. Step 4: Simplify right side
    493.20x = 324,370.20
  5. Step 5: Solve for x
    x = 324,370.20/493.20
  6. Step 6: Final answer
    x = 657.68

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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.