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Finding the Fourth Proportional to 580.20, 800.54 and 344.15

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Solution

The fourth proportional to 580.20, 800.54 and 344.15 is: 474.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.20 : 800.54 = 344.15 : x
  2. Step 2: Convert to fraction form
    580.20/800.54 = 344.15/x
  3. Step 3: Cross multiply
    580.20x = 800.54 × 344.15
  4. Step 4: Simplify right side
    580.20x = 275,505.84
  5. Step 5: Solve for x
    x = 275,505.84/580.20
  6. Step 6: Final answer
    x = 474.85

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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.