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Finding the Fourth Proportional to 636.10, 953.76 and 416.46

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Solution

The fourth proportional to 636.10, 953.76 and 416.46 is: 624.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.10 : 953.76 = 416.46 : x
  2. Step 2: Convert to fraction form
    636.10/953.76 = 416.46/x
  3. Step 3: Cross multiply
    636.10x = 953.76 × 416.46
  4. Step 4: Simplify right side
    636.10x = 397,199.31
  5. Step 5: Solve for x
    x = 397,199.31/636.10
  6. Step 6: Final answer
    x = 624.43

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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.