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Finding the Fourth Proportional to 579.84, 800.16 and 343.77

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Solution

The fourth proportional to 579.84, 800.16 and 343.77 is: 474.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.84 : 800.16 = 343.77 : x
  2. Step 2: Convert to fraction form
    579.84/800.16 = 343.77/x
  3. Step 3: Cross multiply
    579.84x = 800.16 × 343.77
  4. Step 4: Simplify right side
    579.84x = 275,071.00
  5. Step 5: Solve for x
    x = 275,071.00/579.84
  6. Step 6: Final answer
    x = 474.39

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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.