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Finding the Fourth Proportional to 419.30, 629.14 and 175.88

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Solution

The fourth proportional to 419.30, 629.14 and 175.88 is: 263.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.30 : 629.14 = 175.88 : x
  2. Step 2: Convert to fraction form
    419.30/629.14 = 175.88/x
  3. Step 3: Cross multiply
    419.30x = 629.14 × 175.88
  4. Step 4: Simplify right side
    419.30x = 110,653.14
  5. Step 5: Solve for x
    x = 110,653.14/419.30
  6. Step 6: Final answer
    x = 263.90

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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.