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Finding the Fourth Proportional to 420.50, 580.26 and 233.99

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Solution

The fourth proportional to 420.50, 580.26 and 233.99 is: 322.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.50 : 580.26 = 233.99 : x
  2. Step 2: Convert to fraction form
    420.50/580.26 = 233.99/x
  3. Step 3: Cross multiply
    420.50x = 580.26 × 233.99
  4. Step 4: Simplify right side
    420.50x = 135,772.14
  5. Step 5: Solve for x
    x = 135,772.14/420.50
  6. Step 6: Final answer
    x = 322.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.