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Finding the Fourth Proportional to 351.90, 484.92 and 299.28

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Solution

The fourth proportional to 351.90, 484.92 and 299.28 is: 412.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.90 : 484.92 = 299.28 : x
  2. Step 2: Convert to fraction form
    351.90/484.92 = 299.28/x
  3. Step 3: Cross multiply
    351.90x = 484.92 × 299.28
  4. Step 4: Simplify right side
    351.90x = 145,126.86
  5. Step 5: Solve for x
    x = 145,126.86/351.90
  6. Step 6: Final answer
    x = 412.41

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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.