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Finding the Fourth Proportional to 419.84, 629.76 and 176.36

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Solution

The fourth proportional to 419.84, 629.76 and 176.36 is: 264.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.84 : 629.76 = 176.36 : x
  2. Step 2: Convert to fraction form
    419.84/629.76 = 176.36/x
  3. Step 3: Cross multiply
    419.84x = 629.76 × 176.36
  4. Step 4: Simplify right side
    419.84x = 111,064.47
  5. Step 5: Solve for x
    x = 111,064.47/419.84
  6. Step 6: Final answer
    x = 264.54

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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.