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Finding the Fourth Proportional to 579.41, 868.37 and 506.11

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Solution

The fourth proportional to 579.41, 868.37 and 506.11 is: 758.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.41 : 868.37 = 506.11 : x
  2. Step 2: Convert to fraction form
    579.41/868.37 = 506.11/x
  3. Step 3: Cross multiply
    579.41x = 868.37 × 506.11
  4. Step 4: Simplify right side
    579.41x = 439,483.87
  5. Step 5: Solve for x
    x = 439,483.87/579.41
  6. Step 6: Final answer
    x = 758.50

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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.