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Finding the Fourth Proportional to 420.66, 580.49 and 234.13

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Solution

The fourth proportional to 420.66, 580.49 and 234.13 is: 323.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.66 : 580.49 = 234.13 : x
  2. Step 2: Convert to fraction form
    420.66/580.49 = 234.13/x
  3. Step 3: Cross multiply
    420.66x = 580.49 × 234.13
  4. Step 4: Simplify right side
    420.66x = 135,908.95
  5. Step 5: Solve for x
    x = 135,908.95/420.66
  6. Step 6: Final answer
    x = 323.09

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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.