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Finding the Fourth Proportional to 406.99, 561.46 and 296.26

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Solution

The fourth proportional to 406.99, 561.46 and 296.26 is: 408.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.99 : 561.46 = 296.26 : x
  2. Step 2: Convert to fraction form
    406.99/561.46 = 296.26/x
  3. Step 3: Cross multiply
    406.99x = 561.46 × 296.26
  4. Step 4: Simplify right side
    406.99x = 166,338.14
  5. Step 5: Solve for x
    x = 166,338.14/406.99
  6. Step 6: Final answer
    x = 408.70

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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.