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Finding the Fourth Proportional to 420.74, 580.64 and 234.25

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Solution

The fourth proportional to 420.74, 580.64 and 234.25 is: 323.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.74 : 580.64 = 234.25 : x
  2. Step 2: Convert to fraction form
    420.74/580.64 = 234.25/x
  3. Step 3: Cross multiply
    420.74x = 580.64 × 234.25
  4. Step 4: Simplify right side
    420.74x = 136,012.30
  5. Step 5: Solve for x
    x = 136,012.30/420.74
  6. Step 6: Final answer
    x = 323.27

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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.