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Finding the Fourth Proportional to 580.20, 799.92 and 405.24

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Solution

The fourth proportional to 580.20, 799.92 and 405.24 is: 558.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.20 : 799.92 = 405.24 : x
  2. Step 2: Convert to fraction form
    580.20/799.92 = 405.24/x
  3. Step 3: Cross multiply
    580.20x = 799.92 × 405.24
  4. Step 4: Simplify right side
    580.20x = 324,159.58
  5. Step 5: Solve for x
    x = 324,159.58/580.20
  6. Step 6: Final answer
    x = 558.70

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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.