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Finding the Fourth Proportional to 483.86, 667.53 and 297.29

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Solution

The fourth proportional to 483.86, 667.53 and 297.29 is: 410.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.86 : 667.53 = 297.29 : x
  2. Step 2: Convert to fraction form
    483.86/667.53 = 297.29/x
  3. Step 3: Cross multiply
    483.86x = 667.53 × 297.29
  4. Step 4: Simplify right side
    483.86x = 198,451.66
  5. Step 5: Solve for x
    x = 198,451.66/483.86
  6. Step 6: Final answer
    x = 410.14

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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.