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Finding the Fourth Proportional to 406.24, 608.45 and 243.59

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Solution

The fourth proportional to 406.24, 608.45 and 243.59 is: 364.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.24 : 608.45 = 243.59 : x
  2. Step 2: Convert to fraction form
    406.24/608.45 = 243.59/x
  3. Step 3: Cross multiply
    406.24x = 608.45 × 243.59
  4. Step 4: Simplify right side
    406.24x = 148,208.08
  5. Step 5: Solve for x
    x = 148,208.08/406.24
  6. Step 6: Final answer
    x = 364.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.