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Finding the Fourth Proportional to 419.69, 629.64 and 176.15

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Solution

The fourth proportional to 419.69, 629.64 and 176.15 is: 264.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.69 : 629.64 = 176.15 : x
  2. Step 2: Convert to fraction form
    419.69/629.64 = 176.15/x
  3. Step 3: Cross multiply
    419.69x = 629.64 × 176.15
  4. Step 4: Simplify right side
    419.69x = 110,911.09
  5. Step 5: Solve for x
    x = 110,911.09/419.69
  6. Step 6: Final answer
    x = 264.27

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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.