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Finding the Fourth Proportional to 579.86, 800.22 and 317.88

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Solution

The fourth proportional to 579.86, 800.22 and 317.88 is: 438.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.86 : 800.22 = 317.88 : x
  2. Step 2: Convert to fraction form
    579.86/800.22 = 317.88/x
  3. Step 3: Cross multiply
    579.86x = 800.22 × 317.88
  4. Step 4: Simplify right side
    579.86x = 254,373.93
  5. Step 5: Solve for x
    x = 254,373.93/579.86
  6. Step 6: Final answer
    x = 438.68

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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.