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Finding the Fourth Proportional to 506.03, 754.71 and 444.73

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Solution

The fourth proportional to 506.03, 754.71 and 444.73 is: 663.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.03 : 754.71 = 444.73 : x
  2. Step 2: Convert to fraction form
    506.03/754.71 = 444.73/x
  3. Step 3: Cross multiply
    506.03x = 754.71 × 444.73
  4. Step 4: Simplify right side
    506.03x = 335,642.18
  5. Step 5: Solve for x
    x = 335,642.18/506.03
  6. Step 6: Final answer
    x = 663.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.