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Finding the Fourth Proportional to 420.92, 580.84 and 234.40

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Solution

The fourth proportional to 420.92, 580.84 and 234.40 is: 323.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.92 : 580.84 = 234.40 : x
  2. Step 2: Convert to fraction form
    420.92/580.84 = 234.40/x
  3. Step 3: Cross multiply
    420.92x = 580.84 × 234.40
  4. Step 4: Simplify right side
    420.92x = 136,148.90
  5. Step 5: Solve for x
    x = 136,148.90/420.92
  6. Step 6: Final answer
    x = 323.46

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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.