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Finding the Fourth Proportional to 579.57, 799.82 and 358.50

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Solution

The fourth proportional to 579.57, 799.82 and 358.50 is: 494.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.57 : 799.82 = 358.50 : x
  2. Step 2: Convert to fraction form
    579.57/799.82 = 358.50/x
  3. Step 3: Cross multiply
    579.57x = 799.82 × 358.50
  4. Step 4: Simplify right side
    579.57x = 286,735.47
  5. Step 5: Solve for x
    x = 286,735.47/579.57
  6. Step 6: Final answer
    x = 494.74

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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.