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Finding the Fourth Proportional to 580.14, 800.19 and 414.54

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Solution

The fourth proportional to 580.14, 800.19 and 414.54 is: 571.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.14 : 800.19 = 414.54 : x
  2. Step 2: Convert to fraction form
    580.14/800.19 = 414.54/x
  3. Step 3: Cross multiply
    580.14x = 800.19 × 414.54
  4. Step 4: Simplify right side
    580.14x = 331,710.76
  5. Step 5: Solve for x
    x = 331,710.76/580.14
  6. Step 6: Final answer
    x = 571.78

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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.