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Finding the Fourth Proportional to 484.50, 668.61 and 309.81

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Solution

The fourth proportional to 484.50, 668.61 and 309.81 is: 427.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.50 : 668.61 = 309.81 : x
  2. Step 2: Convert to fraction form
    484.50/668.61 = 309.81/x
  3. Step 3: Cross multiply
    484.50x = 668.61 × 309.81
  4. Step 4: Simplify right side
    484.50x = 207,142.06
  5. Step 5: Solve for x
    x = 207,142.06/484.50
  6. Step 6: Final answer
    x = 427.54

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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.