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Finding the Fourth Proportional to 420.31, 580.02 and 233.80

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Solution

The fourth proportional to 420.31, 580.02 and 233.80 is: 322.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.31 : 580.02 = 233.80 : x
  2. Step 2: Convert to fraction form
    420.31/580.02 = 233.80/x
  3. Step 3: Cross multiply
    420.31x = 580.02 × 233.80
  4. Step 4: Simplify right side
    420.31x = 135,608.81
  5. Step 5: Solve for x
    x = 135,608.81/420.31
  6. Step 6: Final answer
    x = 322.64

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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.