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Finding the Fourth Proportional to 419.36, 629.12 and 176.06

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Solution

The fourth proportional to 419.36, 629.12 and 176.06 is: 264.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.36 : 629.12 = 176.06 : x
  2. Step 2: Convert to fraction form
    419.36/629.12 = 176.06/x
  3. Step 3: Cross multiply
    419.36x = 629.12 × 176.06
  4. Step 4: Simplify right side
    419.36x = 110,758.84
  5. Step 5: Solve for x
    x = 110,758.84/419.36
  6. Step 6: Final answer
    x = 264.12

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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.