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Finding the Fourth Proportional to 579.88, 800.20 and 317.84

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Solution

The fourth proportional to 579.88, 800.20 and 317.84 is: 438.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.88 : 800.20 = 317.84 : x
  2. Step 2: Convert to fraction form
    579.88/800.20 = 317.84/x
  3. Step 3: Cross multiply
    579.88x = 800.20 × 317.84
  4. Step 4: Simplify right side
    579.88x = 254,336.77
  5. Step 5: Solve for x
    x = 254,336.77/579.88
  6. Step 6: Final answer
    x = 438.60

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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.