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Finding the Fourth Proportional to 579.22, 799.62 and 383.06

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Solution

The fourth proportional to 579.22, 799.62 and 383.06 is: 528.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.22 : 799.62 = 383.06 : x
  2. Step 2: Convert to fraction form
    579.22/799.62 = 383.06/x
  3. Step 3: Cross multiply
    579.22x = 799.62 × 383.06
  4. Step 4: Simplify right side
    579.22x = 306,302.44
  5. Step 5: Solve for x
    x = 306,302.44/579.22
  6. Step 6: Final answer
    x = 528.82

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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.