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Finding the Fourth Proportional to 419.21, 629.17 and 175.91

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Solution

The fourth proportional to 419.21, 629.17 and 175.91 is: 264.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.21 : 629.17 = 175.91 : x
  2. Step 2: Convert to fraction form
    419.21/629.17 = 175.91/x
  3. Step 3: Cross multiply
    419.21x = 629.17 × 175.91
  4. Step 4: Simplify right side
    419.21x = 110,673.71
  5. Step 5: Solve for x
    x = 110,673.71/419.21
  6. Step 6: Final answer
    x = 264.01

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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.