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Finding the Fourth Proportional to 636.06, 953.01 and 506.46

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Solution

The fourth proportional to 636.06, 953.01 and 506.46 is: 758.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.06 : 953.01 = 506.46 : x
  2. Step 2: Convert to fraction form
    636.06/953.01 = 506.46/x
  3. Step 3: Cross multiply
    636.06x = 953.01 × 506.46
  4. Step 4: Simplify right side
    636.06x = 482,661.44
  5. Step 5: Solve for x
    x = 482,661.44/636.06
  6. Step 6: Final answer
    x = 758.83

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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.