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Finding the Fourth Proportional to 456.49, 629.55 and 332.44

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Solution

The fourth proportional to 456.49, 629.55 and 332.44 is: 458.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.49 : 629.55 = 332.44 : x
  2. Step 2: Convert to fraction form
    456.49/629.55 = 332.44/x
  3. Step 3: Cross multiply
    456.49x = 629.55 × 332.44
  4. Step 4: Simplify right side
    456.49x = 209,287.60
  5. Step 5: Solve for x
    x = 209,287.60/456.49
  6. Step 6: Final answer
    x = 458.47

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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.