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Finding the Fourth Proportional to 406.74, 561.24 and 232.06

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Solution

The fourth proportional to 406.74, 561.24 and 232.06 is: 320.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.74 : 561.24 = 232.06 : x
  2. Step 2: Convert to fraction form
    406.74/561.24 = 232.06/x
  3. Step 3: Cross multiply
    406.74x = 561.24 × 232.06
  4. Step 4: Simplify right side
    406.74x = 130,241.35
  5. Step 5: Solve for x
    x = 130,241.35/406.74
  6. Step 6: Final answer
    x = 320.21

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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.