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Finding the Fourth Proportional to 455.30, 629.20 and 337.44

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Solution

The fourth proportional to 455.30, 629.20 and 337.44 is: 466.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.30 : 629.20 = 337.44 : x
  2. Step 2: Convert to fraction form
    455.30/629.20 = 337.44/x
  3. Step 3: Cross multiply
    455.30x = 629.20 × 337.44
  4. Step 4: Simplify right side
    455.30x = 212,317.25
  5. Step 5: Solve for x
    x = 212,317.25/455.30
  6. Step 6: Final answer
    x = 466.32

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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.