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Finding the Fourth Proportional to 406.84, 561.36 and 232.12

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Solution

The fourth proportional to 406.84, 561.36 and 232.12 is: 320.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.84 : 561.36 = 232.12 : x
  2. Step 2: Convert to fraction form
    406.84/561.36 = 232.12/x
  3. Step 3: Cross multiply
    406.84x = 561.36 × 232.12
  4. Step 4: Simplify right side
    406.84x = 130,302.88
  5. Step 5: Solve for x
    x = 130,302.88/406.84
  6. Step 6: Final answer
    x = 320.28

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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.