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Finding the Fourth Proportional to 405.97, 558.52 and 326.81

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Solution

The fourth proportional to 405.97, 558.52 and 326.81 is: 449.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.97 : 558.52 = 326.81 : x
  2. Step 2: Convert to fraction form
    405.97/558.52 = 326.81/x
  3. Step 3: Cross multiply
    405.97x = 558.52 × 326.81
  4. Step 4: Simplify right side
    405.97x = 182,530.50
  5. Step 5: Solve for x
    x = 182,530.50/405.97
  6. Step 6: Final answer
    x = 449.62

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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.