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Finding the Fourth Proportional to 420.78, 580.67 and 234.26

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Solution

The fourth proportional to 420.78, 580.67 and 234.26 is: 323.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.78 : 580.67 = 234.26 : x
  2. Step 2: Convert to fraction form
    420.78/580.67 = 234.26/x
  3. Step 3: Cross multiply
    420.78x = 580.67 × 234.26
  4. Step 4: Simplify right side
    420.78x = 136,026.58
  5. Step 5: Solve for x
    x = 136,026.58/420.78
  6. Step 6: Final answer
    x = 323.28

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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.