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Finding the Fourth Proportional to 484.18, 668.61 and 309.82

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Solution

The fourth proportional to 484.18, 668.61 and 309.82 is: 427.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.18 : 668.61 = 309.82 : x
  2. Step 2: Convert to fraction form
    484.18/668.61 = 309.82/x
  3. Step 3: Cross multiply
    484.18x = 668.61 × 309.82
  4. Step 4: Simplify right side
    484.18x = 207,148.75
  5. Step 5: Solve for x
    x = 207,148.75/484.18
  6. Step 6: Final answer
    x = 427.83

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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.