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Finding the Fourth Proportional to 415.36, 571.92 and 345.28

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Solution

The fourth proportional to 415.36, 571.92 and 345.28 is: 475.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.36 : 571.92 = 345.28 : x
  2. Step 2: Convert to fraction form
    415.36/571.92 = 345.28/x
  3. Step 3: Cross multiply
    415.36x = 571.92 × 345.28
  4. Step 4: Simplify right side
    415.36x = 197,472.54
  5. Step 5: Solve for x
    x = 197,472.54/415.36
  6. Step 6: Final answer
    x = 475.43

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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.