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Finding the Fourth Proportional to 580.33, 869.73 and 502.97

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Solution

The fourth proportional to 580.33, 869.73 and 502.97 is: 753.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.33 : 869.73 = 502.97 : x
  2. Step 2: Convert to fraction form
    580.33/869.73 = 502.97/x
  3. Step 3: Cross multiply
    580.33x = 869.73 × 502.97
  4. Step 4: Simplify right side
    580.33x = 437,450.27
  5. Step 5: Solve for x
    x = 437,450.27/580.33
  6. Step 6: Final answer
    x = 753.80

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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.