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Finding the Fourth Proportional to 580.36, 800.67 and 506.68

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Solution

The fourth proportional to 580.36, 800.67 and 506.68 is: 699.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.36 : 800.67 = 506.68 : x
  2. Step 2: Convert to fraction form
    580.36/800.67 = 506.68/x
  3. Step 3: Cross multiply
    580.36x = 800.67 × 506.68
  4. Step 4: Simplify right side
    580.36x = 405,683.48
  5. Step 5: Solve for x
    x = 405,683.48/580.36
  6. Step 6: Final answer
    x = 699.02

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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.