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Finding the Fourth Proportional to 637.30, 880.33 and 513.44

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Solution

The fourth proportional to 637.30, 880.33 and 513.44 is: 709.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.30 : 880.33 = 513.44 : x
  2. Step 2: Convert to fraction form
    637.30/880.33 = 513.44/x
  3. Step 3: Cross multiply
    637.30x = 880.33 × 513.44
  4. Step 4: Simplify right side
    637.30x = 451,996.64
  5. Step 5: Solve for x
    x = 451,996.64/637.30
  6. Step 6: Final answer
    x = 709.24

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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.