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Finding the Fourth Proportional to 421, 580.96 and 234.52

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Solution

The fourth proportional to 421, 580.96 and 234.52 is: 323.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    421 : 580.96 = 234.52 : x
  2. Step 2: Convert to fraction form
    421/580.96 = 234.52/x
  3. Step 3: Cross multiply
    421x = 580.96 × 234.52
  4. Step 4: Simplify right side
    421x = 136,246.74
  5. Step 5: Solve for x
    x = 136,246.74/421
  6. Step 6: Final answer
    x = 323.63

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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.