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Finding the Fourth Proportional to 421.19, 581.22 and 234.69

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Solution

The fourth proportional to 421.19, 581.22 and 234.69 is: 323.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.19 : 581.22 = 234.69 : x
  2. Step 2: Convert to fraction form
    421.19/581.22 = 234.69/x
  3. Step 3: Cross multiply
    421.19x = 581.22 × 234.69
  4. Step 4: Simplify right side
    421.19x = 136,405.35
  5. Step 5: Solve for x
    x = 136,405.35/421.19
  6. Step 6: Final answer
    x = 323.86

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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.