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Finding the Fourth Proportional to 420.85, 580.72 and 246.19

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Solution

The fourth proportional to 420.85, 580.72 and 246.19 is: 339.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.85 : 580.72 = 246.19 : x
  2. Step 2: Convert to fraction form
    420.85/580.72 = 246.19/x
  3. Step 3: Cross multiply
    420.85x = 580.72 × 246.19
  4. Step 4: Simplify right side
    420.85x = 142,966.94
  5. Step 5: Solve for x
    x = 142,966.94/420.85
  6. Step 6: Final answer
    x = 339.71

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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.