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Finding the Fourth Proportional to 484.63, 668.99 and 344.77

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Solution

The fourth proportional to 484.63, 668.99 and 344.77 is: 475.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.63 : 668.99 = 344.77 : x
  2. Step 2: Convert to fraction form
    484.63/668.99 = 344.77/x
  3. Step 3: Cross multiply
    484.63x = 668.99 × 344.77
  4. Step 4: Simplify right side
    484.63x = 230,647.68
  5. Step 5: Solve for x
    x = 230,647.68/484.63
  6. Step 6: Final answer
    x = 475.93

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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.