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Finding the Fourth Proportional to 406.86, 561.42 and 232.14

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Solution

The fourth proportional to 406.86, 561.42 and 232.14 is: 320.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.86 : 561.42 = 232.14 : x
  2. Step 2: Convert to fraction form
    406.86/561.42 = 232.14/x
  3. Step 3: Cross multiply
    406.86x = 561.42 × 232.14
  4. Step 4: Simplify right side
    406.86x = 130,328.04
  5. Step 5: Solve for x
    x = 130,328.04/406.86
  6. Step 6: Final answer
    x = 320.33

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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.