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Finding the Fourth Proportional to 579.35, 799.48 and 432.25

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Solution

The fourth proportional to 579.35, 799.48 and 432.25 is: 596.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.35 : 799.48 = 432.25 : x
  2. Step 2: Convert to fraction form
    579.35/799.48 = 432.25/x
  3. Step 3: Cross multiply
    579.35x = 799.48 × 432.25
  4. Step 4: Simplify right side
    579.35x = 345,575.23
  5. Step 5: Solve for x
    x = 345,575.23/579.35
  6. Step 6: Final answer
    x = 596.49

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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.