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Finding the Fourth Proportional to 626.56, 938.28 and 505.06

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Solution

The fourth proportional to 626.56, 938.28 and 505.06 is: 756.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.56 : 938.28 = 505.06 : x
  2. Step 2: Convert to fraction form
    626.56/938.28 = 505.06/x
  3. Step 3: Cross multiply
    626.56x = 938.28 × 505.06
  4. Step 4: Simplify right side
    626.56x = 473,887.25
  5. Step 5: Solve for x
    x = 473,887.25/626.56
  6. Step 6: Final answer
    x = 756.33

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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.