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Finding the Fourth Proportional to 580.88, 871.46 and 416.43

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Solution

The fourth proportional to 580.88, 871.46 and 416.43 is: 624.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.88 : 871.46 = 416.43 : x
  2. Step 2: Convert to fraction form
    580.88/871.46 = 416.43/x
  3. Step 3: Cross multiply
    580.88x = 871.46 × 416.43
  4. Step 4: Simplify right side
    580.88x = 362,902.09
  5. Step 5: Solve for x
    x = 362,902.09/580.88
  6. Step 6: Final answer
    x = 624.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.