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Finding the Fourth Proportional to 626.33, 938.28 and 461.50

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Solution

The fourth proportional to 626.33, 938.28 and 461.50 is: 691.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.33 : 938.28 = 461.50 : x
  2. Step 2: Convert to fraction form
    626.33/938.28 = 461.50/x
  3. Step 3: Cross multiply
    626.33x = 938.28 × 461.50
  4. Step 4: Simplify right side
    626.33x = 433,016.22
  5. Step 5: Solve for x
    x = 433,016.22/626.33
  6. Step 6: Final answer
    x = 691.35

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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.