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Finding the Fourth Proportional to 635.92, 953.88 and 419.44

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Solution

The fourth proportional to 635.92, 953.88 and 419.44 is: 629.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.92 : 953.88 = 419.44 : x
  2. Step 2: Convert to fraction form
    635.92/953.88 = 419.44/x
  3. Step 3: Cross multiply
    635.92x = 953.88 × 419.44
  4. Step 4: Simplify right side
    635.92x = 400,095.43
  5. Step 5: Solve for x
    x = 400,095.43/635.92
  6. Step 6: Final answer
    x = 629.16

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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.