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Finding the Fourth Proportional to 579.02, 799.13 and 342.97

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Solution

The fourth proportional to 579.02, 799.13 and 342.97 is: 473.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.02 : 799.13 = 342.97 : x
  2. Step 2: Convert to fraction form
    579.02/799.13 = 342.97/x
  3. Step 3: Cross multiply
    579.02x = 799.13 × 342.97
  4. Step 4: Simplify right side
    579.02x = 274,076.48
  5. Step 5: Solve for x
    x = 274,076.48/579.02
  6. Step 6: Final answer
    x = 473.35

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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.