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Finding the Fourth Proportional to 420.18, 580.43 and 295.80

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Solution

The fourth proportional to 420.18, 580.43 and 295.80 is: 408.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.18 : 580.43 = 295.80 : x
  2. Step 2: Convert to fraction form
    420.18/580.43 = 295.80/x
  3. Step 3: Cross multiply
    420.18x = 580.43 × 295.80
  4. Step 4: Simplify right side
    420.18x = 171,689.72
  5. Step 5: Solve for x
    x = 171,689.72/420.18
  6. Step 6: Final answer
    x = 408.61

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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.