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Finding the Fourth Proportional to 406.24, 608.44 and 243.58

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Solution

The fourth proportional to 406.24, 608.44 and 243.58 is: 364.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.24 : 608.44 = 243.58 : x
  2. Step 2: Convert to fraction form
    406.24/608.44 = 243.58/x
  3. Step 3: Cross multiply
    406.24x = 608.44 × 243.58
  4. Step 4: Simplify right side
    406.24x = 148,203.82
  5. Step 5: Solve for x
    x = 148,203.82/406.24
  6. Step 6: Final answer
    x = 364.82

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