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Finding the Fourth Proportional to 484.78, 668.47 and 422.05

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Solution

The fourth proportional to 484.78, 668.47 and 422.05 is: 581.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.78 : 668.47 = 422.05 : x
  2. Step 2: Convert to fraction form
    484.78/668.47 = 422.05/x
  3. Step 3: Cross multiply
    484.78x = 668.47 × 422.05
  4. Step 4: Simplify right side
    484.78x = 282,125.65
  5. Step 5: Solve for x
    x = 282,125.65/484.78
  6. Step 6: Final answer
    x = 581.97

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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.