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Finding the Fourth Proportional to 580.37, 866.27 and 531.65

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Solution

The fourth proportional to 580.37, 866.27 and 531.65 is: 793.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.37 : 866.27 = 531.65 : x
  2. Step 2: Convert to fraction form
    580.37/866.27 = 531.65/x
  3. Step 3: Cross multiply
    580.37x = 866.27 × 531.65
  4. Step 4: Simplify right side
    580.37x = 460,555.94
  5. Step 5: Solve for x
    x = 460,555.94/580.37
  6. Step 6: Final answer
    x = 793.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.