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Finding the Fourth Proportional to 406.70, 561.25 and 232.06

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Solution

The fourth proportional to 406.70, 561.25 and 232.06 is: 320.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.70 : 561.25 = 232.06 : x
  2. Step 2: Convert to fraction form
    406.70/561.25 = 232.06/x
  3. Step 3: Cross multiply
    406.70x = 561.25 × 232.06
  4. Step 4: Simplify right side
    406.70x = 130,243.68
  5. Step 5: Solve for x
    x = 130,243.68/406.70
  6. Step 6: Final answer
    x = 320.25

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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.