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Finding the Fourth Proportional to 445.44, 614.48 and 414.18

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Solution

The fourth proportional to 445.44, 614.48 and 414.18 is: 571.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.44 : 614.48 = 414.18 : x
  2. Step 2: Convert to fraction form
    445.44/614.48 = 414.18/x
  3. Step 3: Cross multiply
    445.44x = 614.48 × 414.18
  4. Step 4: Simplify right side
    445.44x = 254,505.33
  5. Step 5: Solve for x
    x = 254,505.33/445.44
  6. Step 6: Final answer
    x = 571.36

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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.