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Finding the Fourth Proportional to 636.82, 954.55 and 416.75

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Solution

The fourth proportional to 636.82, 954.55 and 416.75 is: 624.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.82 : 954.55 = 416.75 : x
  2. Step 2: Convert to fraction form
    636.82/954.55 = 416.75/x
  3. Step 3: Cross multiply
    636.82x = 954.55 × 416.75
  4. Step 4: Simplify right side
    636.82x = 397,810.06
  5. Step 5: Solve for x
    x = 397,810.06/636.82
  6. Step 6: Final answer
    x = 624.68

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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.