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Finding the Fourth Proportional to 421.23, 581.28 and 234.69

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Solution

The fourth proportional to 421.23, 581.28 and 234.69 is: 323.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.23 : 581.28 = 234.69 : x
  2. Step 2: Convert to fraction form
    421.23/581.28 = 234.69/x
  3. Step 3: Cross multiply
    421.23x = 581.28 × 234.69
  4. Step 4: Simplify right side
    421.23x = 136,420.60
  5. Step 5: Solve for x
    x = 136,420.60/421.23
  6. Step 6: Final answer
    x = 323.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.