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Finding the Fourth Proportional to 579.83, 800.00 and 343.67

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Solution

The fourth proportional to 579.83, 800.00 and 343.67 is: 474.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.83 : 800.00 = 343.67 : x
  2. Step 2: Convert to fraction form
    579.83/800.00 = 343.67/x
  3. Step 3: Cross multiply
    579.83x = 800.00 × 343.67
  4. Step 4: Simplify right side
    579.83x = 274,934.28
  5. Step 5: Solve for x
    x = 274,934.28/579.83
  6. Step 6: Final answer
    x = 474.17

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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.