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Finding the Fourth Proportional to 484.33, 668.51 and 297.85

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Solution

The fourth proportional to 484.33, 668.51 and 297.85 is: 411.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.33 : 668.51 = 297.85 : x
  2. Step 2: Convert to fraction form
    484.33/668.51 = 297.85/x
  3. Step 3: Cross multiply
    484.33x = 668.51 × 297.85
  4. Step 4: Simplify right side
    484.33x = 199,114.21
  5. Step 5: Solve for x
    x = 199,114.21/484.33
  6. Step 6: Final answer
    x = 411.11

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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.