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Finding the Fourth Proportional to 406.78, 561.35 and 232.12

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Solution

The fourth proportional to 406.78, 561.35 and 232.12 is: 320.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.78 : 561.35 = 232.12 : x
  2. Step 2: Convert to fraction form
    406.78/561.35 = 232.12/x
  3. Step 3: Cross multiply
    406.78x = 561.35 × 232.12
  4. Step 4: Simplify right side
    406.78x = 130,300.56
  5. Step 5: Solve for x
    x = 130,300.56/406.78
  6. Step 6: Final answer
    x = 320.32

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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.