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Finding the Fourth Proportional to 461.60, 636.84 and 412.64

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Solution

The fourth proportional to 461.60, 636.84 and 412.64 is: 569.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.60 : 636.84 = 412.64 : x
  2. Step 2: Convert to fraction form
    461.60/636.84 = 412.64/x
  3. Step 3: Cross multiply
    461.60x = 636.84 × 412.64
  4. Step 4: Simplify right side
    461.60x = 262,785.66
  5. Step 5: Solve for x
    x = 262,785.66/461.60
  6. Step 6: Final answer
    x = 569.29

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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.