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Finding the Fourth Proportional to 629.24, 867.93 and 380.46

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Solution

The fourth proportional to 629.24, 867.93 and 380.46 is: 524.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.24 : 867.93 = 380.46 : x
  2. Step 2: Convert to fraction form
    629.24/867.93 = 380.46/x
  3. Step 3: Cross multiply
    629.24x = 867.93 × 380.46
  4. Step 4: Simplify right side
    629.24x = 330,212.65
  5. Step 5: Solve for x
    x = 330,212.65/629.24
  6. Step 6: Final answer
    x = 524.78

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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.