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Finding the Fourth Proportional to 636.98, 953.64 and 416.88

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Solution

The fourth proportional to 636.98, 953.64 and 416.88 is: 624.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.98 : 953.64 = 416.88 : x
  2. Step 2: Convert to fraction form
    636.98/953.64 = 416.88/x
  3. Step 3: Cross multiply
    636.98x = 953.64 × 416.88
  4. Step 4: Simplify right side
    636.98x = 397,553.44
  5. Step 5: Solve for x
    x = 397,553.44/636.98
  6. Step 6: Final answer
    x = 624.13

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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.