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Finding the Fourth Proportional to 351.20, 484.16 and 292.88

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Solution

The fourth proportional to 351.20, 484.16 and 292.88 is: 403.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.20 : 484.16 = 292.88 : x
  2. Step 2: Convert to fraction form
    351.20/484.16 = 292.88/x
  3. Step 3: Cross multiply
    351.20x = 484.16 × 292.88
  4. Step 4: Simplify right side
    351.20x = 141,800.78
  5. Step 5: Solve for x
    x = 141,800.78/351.20
  6. Step 6: Final answer
    x = 403.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.