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Finding the Fourth Proportional to 421.86, 582.23 and 304.23

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Solution

The fourth proportional to 421.86, 582.23 and 304.23 is: 419.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.86 : 582.23 = 304.23 : x
  2. Step 2: Convert to fraction form
    421.86/582.23 = 304.23/x
  3. Step 3: Cross multiply
    421.86x = 582.23 × 304.23
  4. Step 4: Simplify right side
    421.86x = 177,131.83
  5. Step 5: Solve for x
    x = 177,131.83/421.86
  6. Step 6: Final answer
    x = 419.88

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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.