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Finding the Fourth Proportional to 419.28, 629.02 and 175.66

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Solution

The fourth proportional to 419.28, 629.02 and 175.66 is: 263.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.28 : 629.02 = 175.66 : x
  2. Step 2: Convert to fraction form
    419.28/629.02 = 175.66/x
  3. Step 3: Cross multiply
    419.28x = 629.02 × 175.66
  4. Step 4: Simplify right side
    419.28x = 110,493.65
  5. Step 5: Solve for x
    x = 110,493.65/419.28
  6. Step 6: Final answer
    x = 263.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.