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Finding the Fourth Proportional to 579.24, 799.08 and 358.20

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Solution

The fourth proportional to 579.24, 799.08 and 358.20 is: 494.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.24 : 799.08 = 358.20 : x
  2. Step 2: Convert to fraction form
    579.24/799.08 = 358.20/x
  3. Step 3: Cross multiply
    579.24x = 799.08 × 358.20
  4. Step 4: Simplify right side
    579.24x = 286,230.46
  5. Step 5: Solve for x
    x = 286,230.46/579.24
  6. Step 6: Final answer
    x = 494.15

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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.