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Finding the Fourth Proportional to 457.10, 629.34 and 377.45

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Solution

The fourth proportional to 457.10, 629.34 and 377.45 is: 519.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.10 : 629.34 = 377.45 : x
  2. Step 2: Convert to fraction form
    457.10/629.34 = 377.45/x
  3. Step 3: Cross multiply
    457.10x = 629.34 × 377.45
  4. Step 4: Simplify right side
    457.10x = 237,544.38
  5. Step 5: Solve for x
    x = 237,544.38/457.10
  6. Step 6: Final answer
    x = 519.68

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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.