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Finding the Fourth Proportional to 579.20, 799.56 and 358.16

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Solution

The fourth proportional to 579.20, 799.56 and 358.16 is: 494.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.20 : 799.56 = 358.16 : x
  2. Step 2: Convert to fraction form
    579.20/799.56 = 358.16/x
  3. Step 3: Cross multiply
    579.20x = 799.56 × 358.16
  4. Step 4: Simplify right side
    579.20x = 286,370.41
  5. Step 5: Solve for x
    x = 286,370.41/579.20
  6. Step 6: Final answer
    x = 494.42

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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.