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Finding the Fourth Proportional to 406.87, 561.48 and 296.36

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Solution

The fourth proportional to 406.87, 561.48 and 296.36 is: 408.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.87 : 561.48 = 296.36 : x
  2. Step 2: Convert to fraction form
    406.87/561.48 = 296.36/x
  3. Step 3: Cross multiply
    406.87x = 561.48 × 296.36
  4. Step 4: Simplify right side
    406.87x = 166,400.07
  5. Step 5: Solve for x
    x = 166,400.07/406.87
  6. Step 6: Final answer
    x = 408.97

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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.