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Finding the Fourth Proportional to 580.67, 800.51 and 414.62

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Solution

The fourth proportional to 580.67, 800.51 and 414.62 is: 571.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.67 : 800.51 = 414.62 : x
  2. Step 2: Convert to fraction form
    580.67/800.51 = 414.62/x
  3. Step 3: Cross multiply
    580.67x = 800.51 × 414.62
  4. Step 4: Simplify right side
    580.67x = 331,901.38
  5. Step 5: Solve for x
    x = 331,901.38/580.67
  6. Step 6: Final answer
    x = 571.59

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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.