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Finding the Fourth Proportional to 421.70, 582.48 and 324.66

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Solution

The fourth proportional to 421.70, 582.48 and 324.66 is: 448.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.70 : 582.48 = 324.66 : x
  2. Step 2: Convert to fraction form
    421.70/582.48 = 324.66/x
  3. Step 3: Cross multiply
    421.70x = 582.48 × 324.66
  4. Step 4: Simplify right side
    421.70x = 189,107.96
  5. Step 5: Solve for x
    x = 189,107.96/421.70
  6. Step 6: Final answer
    x = 448.44

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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.