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Finding the Fourth Proportional to 419.20, 629.04 and 297.76

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Solution

The fourth proportional to 419.20, 629.04 and 297.76 is: 446.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.20 : 629.04 = 297.76 : x
  2. Step 2: Convert to fraction form
    419.20/629.04 = 297.76/x
  3. Step 3: Cross multiply
    419.20x = 629.04 × 297.76
  4. Step 4: Simplify right side
    419.20x = 187,302.95
  5. Step 5: Solve for x
    x = 187,302.95/419.20
  6. Step 6: Final answer
    x = 446.81

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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.