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Finding the Fourth Proportional to 421.14, 581.68 and 324.06

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Solution

The fourth proportional to 421.14, 581.68 and 324.06 is: 447.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.14 : 581.68 = 324.06 : x
  2. Step 2: Convert to fraction form
    421.14/581.68 = 324.06/x
  3. Step 3: Cross multiply
    421.14x = 581.68 × 324.06
  4. Step 4: Simplify right side
    421.14x = 188,499.22
  5. Step 5: Solve for x
    x = 188,499.22/421.14
  6. Step 6: Final answer
    x = 447.59

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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.