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Finding the Fourth Proportional to 420.68, 580.52 and 234.16

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Solution

The fourth proportional to 420.68, 580.52 and 234.16 is: 323.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.68 : 580.52 = 234.16 : x
  2. Step 2: Convert to fraction form
    420.68/580.52 = 234.16/x
  3. Step 3: Cross multiply
    420.68x = 580.52 × 234.16
  4. Step 4: Simplify right side
    420.68x = 135,935.15
  5. Step 5: Solve for x
    x = 135,935.15/420.68
  6. Step 6: Final answer
    x = 323.13

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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.