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Finding the Fourth Proportional to 561.09, 773.21 and 421.37

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Solution

The fourth proportional to 561.09, 773.21 and 421.37 is: 580.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.09 : 773.21 = 421.37 : x
  2. Step 2: Convert to fraction form
    561.09/773.21 = 421.37/x
  3. Step 3: Cross multiply
    561.09x = 773.21 × 421.37
  4. Step 4: Simplify right side
    561.09x = 325,804.69
  5. Step 5: Solve for x
    x = 325,804.69/561.09
  6. Step 6: Final answer
    x = 580.66

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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.