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Finding the Fourth Proportional to 579.96, 800.34 and 317.97

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Solution

The fourth proportional to 579.96, 800.34 and 317.97 is: 438.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.96 : 800.34 = 317.97 : x
  2. Step 2: Convert to fraction form
    579.96/800.34 = 317.97/x
  3. Step 3: Cross multiply
    579.96x = 800.34 × 317.97
  4. Step 4: Simplify right side
    579.96x = 254,484.11
  5. Step 5: Solve for x
    x = 254,484.11/579.96
  6. Step 6: Final answer
    x = 438.80

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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.