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Finding the Fourth Proportional to 484.29, 668.42 and 297.93

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Solution

The fourth proportional to 484.29, 668.42 and 297.93 is: 411.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.29 : 668.42 = 297.93 : x
  2. Step 2: Convert to fraction form
    484.29/668.42 = 297.93/x
  3. Step 3: Cross multiply
    484.29x = 668.42 × 297.93
  4. Step 4: Simplify right side
    484.29x = 199,143.30
  5. Step 5: Solve for x
    x = 199,143.30/484.29
  6. Step 6: Final answer
    x = 411.21

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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.