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Finding the Fourth Proportional to 579.61, 799.70 and 343.49

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Solution

The fourth proportional to 579.61, 799.70 and 343.49 is: 473.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.61 : 799.70 = 343.49 : x
  2. Step 2: Convert to fraction form
    579.61/799.70 = 343.49/x
  3. Step 3: Cross multiply
    579.61x = 799.70 × 343.49
  4. Step 4: Simplify right side
    579.61x = 274,689.23
  5. Step 5: Solve for x
    x = 274,689.23/579.61
  6. Step 6: Final answer
    x = 473.92

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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.