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Finding the Fourth Proportional to 483.50, 667.35 and 297.11

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Solution

The fourth proportional to 483.50, 667.35 and 297.11 is: 410.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.50 : 667.35 = 297.11 : x
  2. Step 2: Convert to fraction form
    483.50/667.35 = 297.11/x
  3. Step 3: Cross multiply
    483.50x = 667.35 × 297.11
  4. Step 4: Simplify right side
    483.50x = 198,278.03
  5. Step 5: Solve for x
    x = 198,278.03/483.50
  6. Step 6: Final answer
    x = 410.09

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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.