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Finding the Fourth Proportional to 420.57, 580.32 and 234.03

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Solution

The fourth proportional to 420.57, 580.32 and 234.03 is: 322.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.57 : 580.32 = 234.03 : x
  2. Step 2: Convert to fraction form
    420.57/580.32 = 234.03/x
  3. Step 3: Cross multiply
    420.57x = 580.32 × 234.03
  4. Step 4: Simplify right side
    420.57x = 135,812.29
  5. Step 5: Solve for x
    x = 135,812.29/420.57
  6. Step 6: Final answer
    x = 322.92

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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.