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Finding the Fourth Proportional to 420.64, 580.49 and 234.16

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Solution

The fourth proportional to 420.64, 580.49 and 234.16 is: 323.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.64 : 580.49 = 234.16 : x
  2. Step 2: Convert to fraction form
    420.64/580.49 = 234.16/x
  3. Step 3: Cross multiply
    420.64x = 580.49 × 234.16
  4. Step 4: Simplify right side
    420.64x = 135,927.54
  5. Step 5: Solve for x
    x = 135,927.54/420.64
  6. Step 6: Final answer
    x = 323.14

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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.