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Finding the Fourth Proportional to 406.83, 559.47 and 327.15

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Solution

The fourth proportional to 406.83, 559.47 and 327.15 is: 449.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.83 : 559.47 = 327.15 : x
  2. Step 2: Convert to fraction form
    406.83/559.47 = 327.15/x
  3. Step 3: Cross multiply
    406.83x = 559.47 × 327.15
  4. Step 4: Simplify right side
    406.83x = 183,030.61
  5. Step 5: Solve for x
    x = 183,030.61/406.83
  6. Step 6: Final answer
    x = 449.89

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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.