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Finding the Fourth Proportional to 635.63, 953.45 and 416.44

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Solution

The fourth proportional to 635.63, 953.45 and 416.44 is: 624.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.63 : 953.45 = 416.44 : x
  2. Step 2: Convert to fraction form
    635.63/953.45 = 416.44/x
  3. Step 3: Cross multiply
    635.63x = 953.45 × 416.44
  4. Step 4: Simplify right side
    635.63x = 397,055.78
  5. Step 5: Solve for x
    x = 397,055.78/635.63
  6. Step 6: Final answer
    x = 624.66

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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.