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Finding the Fourth Proportional to 420.50, 580.25 and 233.98

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Solution

The fourth proportional to 420.50, 580.25 and 233.98 is: 322.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.50 : 580.25 = 233.98 : x
  2. Step 2: Convert to fraction form
    420.50/580.25 = 233.98/x
  3. Step 3: Cross multiply
    420.50x = 580.25 × 233.98
  4. Step 4: Simplify right side
    420.50x = 135,766.90
  5. Step 5: Solve for x
    x = 135,766.90/420.50
  6. Step 6: Final answer
    x = 322.87

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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.