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Finding the Fourth Proportional to 420.31, 580.05 and 233.82

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Solution

The fourth proportional to 420.31, 580.05 and 233.82 is: 322.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.31 : 580.05 = 233.82 : x
  2. Step 2: Convert to fraction form
    420.31/580.05 = 233.82/x
  3. Step 3: Cross multiply
    420.31x = 580.05 × 233.82
  4. Step 4: Simplify right side
    420.31x = 135,627.29
  5. Step 5: Solve for x
    x = 135,627.29/420.31
  6. Step 6: Final answer
    x = 322.68

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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.