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Finding the Fourth Proportional to 419.67, 629.33 and 176.06

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Solution

The fourth proportional to 419.67, 629.33 and 176.06 is: 264.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.67 : 629.33 = 176.06 : x
  2. Step 2: Convert to fraction form
    419.67/629.33 = 176.06/x
  3. Step 3: Cross multiply
    419.67x = 629.33 × 176.06
  4. Step 4: Simplify right side
    419.67x = 110,801.85
  5. Step 5: Solve for x
    x = 110,801.85/419.67
  6. Step 6: Final answer
    x = 264.02

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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.