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Finding the Fourth Proportional to 580.29, 800.78 and 414.90

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Solution

The fourth proportional to 580.29, 800.78 and 414.90 is: 572.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.29 : 800.78 = 414.90 : x
  2. Step 2: Convert to fraction form
    580.29/800.78 = 414.90/x
  3. Step 3: Cross multiply
    580.29x = 800.78 × 414.90
  4. Step 4: Simplify right side
    580.29x = 332,241.55
  5. Step 5: Solve for x
    x = 332,241.55/580.29
  6. Step 6: Final answer
    x = 572.54

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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.