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Finding the Fourth Proportional to 483.86, 667.89 and 297.66

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Solution

The fourth proportional to 483.86, 667.89 and 297.66 is: 410.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.86 : 667.89 = 297.66 : x
  2. Step 2: Convert to fraction form
    483.86/667.89 = 297.66/x
  3. Step 3: Cross multiply
    483.86x = 667.89 × 297.66
  4. Step 4: Simplify right side
    483.86x = 198,804.14
  5. Step 5: Solve for x
    x = 198,804.14/483.86
  6. Step 6: Final answer
    x = 410.88

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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.