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Finding the Fourth Proportional to 634.44, 875.82 and 448.08

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Solution

The fourth proportional to 634.44, 875.82 and 448.08 is: 618.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.44 : 875.82 = 448.08 : x
  2. Step 2: Convert to fraction form
    634.44/875.82 = 448.08/x
  3. Step 3: Cross multiply
    634.44x = 875.82 × 448.08
  4. Step 4: Simplify right side
    634.44x = 392,437.43
  5. Step 5: Solve for x
    x = 392,437.43/634.44
  6. Step 6: Final answer
    x = 618.56

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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.