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Finding the Fourth Proportional to 580.14, 800.97 and 405.18

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Solution

The fourth proportional to 580.14, 800.97 and 405.18 is: 559.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.14 : 800.97 = 405.18 : x
  2. Step 2: Convert to fraction form
    580.14/800.97 = 405.18/x
  3. Step 3: Cross multiply
    580.14x = 800.97 × 405.18
  4. Step 4: Simplify right side
    580.14x = 324,537.02
  5. Step 5: Solve for x
    x = 324,537.02/580.14
  6. Step 6: Final answer
    x = 559.41

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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.