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Finding the Fourth Proportional to 580.06, 800.48 and 324.57

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Solution

The fourth proportional to 580.06, 800.48 and 324.57 is: 447.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.06 : 800.48 = 324.57 : x
  2. Step 2: Convert to fraction form
    580.06/800.48 = 324.57/x
  3. Step 3: Cross multiply
    580.06x = 800.48 × 324.57
  4. Step 4: Simplify right side
    580.06x = 259,815.61
  5. Step 5: Solve for x
    x = 259,815.61/580.06
  6. Step 6: Final answer
    x = 447.91

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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.