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Finding the Fourth Proportional to 521.72, 780.96 and 449.68

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Solution

The fourth proportional to 521.72, 780.96 and 449.68 is: 673.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.72 : 780.96 = 449.68 : x
  2. Step 2: Convert to fraction form
    521.72/780.96 = 449.68/x
  3. Step 3: Cross multiply
    521.72x = 780.96 × 449.68
  4. Step 4: Simplify right side
    521.72x = 351,182.09
  5. Step 5: Solve for x
    x = 351,182.09/521.72
  6. Step 6: Final answer
    x = 673.12

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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.