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Finding the Fourth Proportional to 679.98, 1,020.28 and 290.27

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Solution

The fourth proportional to 679.98, 1,020.28 and 290.27 is: 435.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.98 : 1,020.28 = 290.27 : x
  2. Step 2: Convert to fraction form
    679.98/1,020.28 = 290.27/x
  3. Step 3: Cross multiply
    679.98x = 1,020.28 × 290.27
  4. Step 4: Simplify right side
    679.98x = 296,156.68
  5. Step 5: Solve for x
    x = 296,156.68/679.98
  6. Step 6: Final answer
    x = 435.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.