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Finding the Fourth Proportional to 444.40, 610.60 and 415.96

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Solution

The fourth proportional to 444.40, 610.60 and 415.96 is: 571.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.40 : 610.60 = 415.96 : x
  2. Step 2: Convert to fraction form
    444.40/610.60 = 415.96/x
  3. Step 3: Cross multiply
    444.40x = 610.60 × 415.96
  4. Step 4: Simplify right side
    444.40x = 253,983.39
  5. Step 5: Solve for x
    x = 253,983.39/444.40
  6. Step 6: Final answer
    x = 571.52

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.