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Finding the Fourth Proportional to 580.89, 871.34 and 465.19

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Solution

The fourth proportional to 580.89, 871.34 and 465.19 is: 697.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.89 : 871.34 = 465.19 : x
  2. Step 2: Convert to fraction form
    580.89/871.34 = 465.19/x
  3. Step 3: Cross multiply
    580.89x = 871.34 × 465.19
  4. Step 4: Simplify right side
    580.89x = 405,338.65
  5. Step 5: Solve for x
    x = 405,338.65/580.89
  6. Step 6: Final answer
    x = 697.79

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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.