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Finding the Fourth Proportional to 579.61, 799.84 and 317.61

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Solution

The fourth proportional to 579.61, 799.84 and 317.61 is: 438.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.61 : 799.84 = 317.61 : x
  2. Step 2: Convert to fraction form
    579.61/799.84 = 317.61/x
  3. Step 3: Cross multiply
    579.61x = 799.84 × 317.61
  4. Step 4: Simplify right side
    579.61x = 254,037.18
  5. Step 5: Solve for x
    x = 254,037.18/579.61
  6. Step 6: Final answer
    x = 438.29

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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.