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Finding the Fourth Proportional to 420.25, 580.54 and 336.78

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Solution

The fourth proportional to 420.25, 580.54 and 336.78 is: 465.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.25 : 580.54 = 336.78 : x
  2. Step 2: Convert to fraction form
    420.25/580.54 = 336.78/x
  3. Step 3: Cross multiply
    420.25x = 580.54 × 336.78
  4. Step 4: Simplify right side
    420.25x = 195,511.13
  5. Step 5: Solve for x
    x = 195,511.13/420.25
  6. Step 6: Final answer
    x = 465.23

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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.