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Finding the Fourth Proportional to 629.34, 868.52 and 419.91

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Solution

The fourth proportional to 629.34, 868.52 and 419.91 is: 579.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.34 : 868.52 = 419.91 : x
  2. Step 2: Convert to fraction form
    629.34/868.52 = 419.91/x
  3. Step 3: Cross multiply
    629.34x = 868.52 × 419.91
  4. Step 4: Simplify right side
    629.34x = 364,698.13
  5. Step 5: Solve for x
    x = 364,698.13/629.34
  6. Step 6: Final answer
    x = 579.49

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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.