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Finding the Fourth Proportional to 406.77, 561.48 and 301.83

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Solution

The fourth proportional to 406.77, 561.48 and 301.83 is: 416.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.77 : 561.48 = 301.83 : x
  2. Step 2: Convert to fraction form
    406.77/561.48 = 301.83/x
  3. Step 3: Cross multiply
    406.77x = 561.48 × 301.83
  4. Step 4: Simplify right side
    406.77x = 169,468.27
  5. Step 5: Solve for x
    x = 169,468.27/406.77
  6. Step 6: Final answer
    x = 416.62

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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.