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Finding the Fourth Proportional to 579.83, 800.17 and 317.84

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Solution

The fourth proportional to 579.83, 800.17 and 317.84 is: 438.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.83 : 800.17 = 317.84 : x
  2. Step 2: Convert to fraction form
    579.83/800.17 = 317.84/x
  3. Step 3: Cross multiply
    579.83x = 800.17 × 317.84
  4. Step 4: Simplify right side
    579.83x = 254,321.24
  5. Step 5: Solve for x
    x = 254,321.24/579.83
  6. Step 6: Final answer
    x = 438.62

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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.