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Finding the Fourth Proportional to 421.96, 582.60 and 305.56

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Solution

The fourth proportional to 421.96, 582.60 and 305.56 is: 421.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.96 : 582.60 = 305.56 : x
  2. Step 2: Convert to fraction form
    421.96/582.60 = 305.56/x
  3. Step 3: Cross multiply
    421.96x = 582.60 × 305.56
  4. Step 4: Simplify right side
    421.96x = 178,019.26
  5. Step 5: Solve for x
    x = 178,019.26/421.96
  6. Step 6: Final answer
    x = 421.89

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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.