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Finding the Fourth Proportional to 420.96, 580.89 and 246.30

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Solution

The fourth proportional to 420.96, 580.89 and 246.30 is: 339.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.96 : 580.89 = 246.30 : x
  2. Step 2: Convert to fraction form
    420.96/580.89 = 246.30/x
  3. Step 3: Cross multiply
    420.96x = 580.89 × 246.30
  4. Step 4: Simplify right side
    420.96x = 143,073.21
  5. Step 5: Solve for x
    x = 143,073.21/420.96
  6. Step 6: Final answer
    x = 339.87

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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.