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Finding the Fourth Proportional to 629.76, 868.62 and 419.83

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Solution

The fourth proportional to 629.76, 868.62 and 419.83 is: 579.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.76 : 868.62 = 419.83 : x
  2. Step 2: Convert to fraction form
    629.76/868.62 = 419.83/x
  3. Step 3: Cross multiply
    629.76x = 868.62 × 419.83
  4. Step 4: Simplify right side
    629.76x = 364,677.02
  5. Step 5: Solve for x
    x = 364,677.02/629.76
  6. Step 6: Final answer
    x = 579.07

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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.