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Finding the Fourth Proportional to 579.29, 865.30 and 382.66

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Solution

The fourth proportional to 579.29, 865.30 and 382.66 is: 571.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.29 : 865.30 = 382.66 : x
  2. Step 2: Convert to fraction form
    579.29/865.30 = 382.66/x
  3. Step 3: Cross multiply
    579.29x = 865.30 × 382.66
  4. Step 4: Simplify right side
    579.29x = 331,113.30
  5. Step 5: Solve for x
    x = 331,113.30/579.29
  6. Step 6: Final answer
    x = 571.59

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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.