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Finding the Fourth Proportional to 636.36, 877.46 and 412.04

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Solution

The fourth proportional to 636.36, 877.46 and 412.04 is: 568.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.36 : 877.46 = 412.04 : x
  2. Step 2: Convert to fraction form
    636.36/877.46 = 412.04/x
  3. Step 3: Cross multiply
    636.36x = 877.46 × 412.04
  4. Step 4: Simplify right side
    636.36x = 361,548.62
  5. Step 5: Solve for x
    x = 361,548.62/636.36
  6. Step 6: Final answer
    x = 568.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.