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Finding the Fourth Proportional to 406.97, 561.08 and 351.59

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Solution

The fourth proportional to 406.97, 561.08 and 351.59 is: 484.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.97 : 561.08 = 351.59 : x
  2. Step 2: Convert to fraction form
    406.97/561.08 = 351.59/x
  3. Step 3: Cross multiply
    406.97x = 561.08 × 351.59
  4. Step 4: Simplify right side
    406.97x = 197,265.55
  5. Step 5: Solve for x
    x = 197,265.55/406.97
  6. Step 6: Final answer
    x = 484.72

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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.