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Finding the Fourth Proportional to 483.78, 667.66 and 297.22

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Solution

The fourth proportional to 483.78, 667.66 and 297.22 is: 410.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.78 : 667.66 = 297.22 : x
  2. Step 2: Convert to fraction form
    483.78/667.66 = 297.22/x
  3. Step 3: Cross multiply
    483.78x = 667.66 × 297.22
  4. Step 4: Simplify right side
    483.78x = 198,441.91
  5. Step 5: Solve for x
    x = 198,441.91/483.78
  6. Step 6: Final answer
    x = 410.19

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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.