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Finding the Fourth Proportional to 351.15, 484.82 and 288.28

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Solution

The fourth proportional to 351.15, 484.82 and 288.28 is: 398.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.15 : 484.82 = 288.28 : x
  2. Step 2: Convert to fraction form
    351.15/484.82 = 288.28/x
  3. Step 3: Cross multiply
    351.15x = 484.82 × 288.28
  4. Step 4: Simplify right side
    351.15x = 139,763.91
  5. Step 5: Solve for x
    x = 139,763.91/351.15
  6. Step 6: Final answer
    x = 398.02

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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.