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Finding the Fourth Proportional to 456.64, 629.85 and 422.03

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Solution

The fourth proportional to 456.64, 629.85 and 422.03 is: 582.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.64 : 629.85 = 422.03 : x
  2. Step 2: Convert to fraction form
    456.64/629.85 = 422.03/x
  3. Step 3: Cross multiply
    456.64x = 629.85 × 422.03
  4. Step 4: Simplify right side
    456.64x = 265,815.60
  5. Step 5: Solve for x
    x = 265,815.60/456.64
  6. Step 6: Final answer
    x = 582.11

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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.