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Finding the Fourth Proportional to 456.13, 629.22 and 377.14

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Solution

The fourth proportional to 456.13, 629.22 and 377.14 is: 520.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.13 : 629.22 = 377.14 : x
  2. Step 2: Convert to fraction form
    456.13/629.22 = 377.14/x
  3. Step 3: Cross multiply
    456.13x = 629.22 × 377.14
  4. Step 4: Simplify right side
    456.13x = 237,304.03
  5. Step 5: Solve for x
    x = 237,304.03/456.13
  6. Step 6: Final answer
    x = 520.26

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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.