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Finding the Fourth Proportional to 420.41, 580.17 and 231.35

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Solution

The fourth proportional to 420.41, 580.17 and 231.35 is: 319.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.41 : 580.17 = 231.35 : x
  2. Step 2: Convert to fraction form
    420.41/580.17 = 231.35/x
  3. Step 3: Cross multiply
    420.41x = 580.17 × 231.35
  4. Step 4: Simplify right side
    420.41x = 134,223.78
  5. Step 5: Solve for x
    x = 134,223.78/420.41
  6. Step 6: Final answer
    x = 319.27

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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.