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Finding the Fourth Proportional to 645.44, 890.56 and 448.96

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Solution

The fourth proportional to 645.44, 890.56 and 448.96 is: 619.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.44 : 890.56 = 448.96 : x
  2. Step 2: Convert to fraction form
    645.44/890.56 = 448.96/x
  3. Step 3: Cross multiply
    645.44x = 890.56 × 448.96
  4. Step 4: Simplify right side
    645.44x = 399,825.82
  5. Step 5: Solve for x
    x = 399,825.82/645.44
  6. Step 6: Final answer
    x = 619.46

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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.