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Finding the Fourth Proportional to 419.78, 629.36 and 302.46

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Solution

The fourth proportional to 419.78, 629.36 and 302.46 is: 453.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.78 : 629.36 = 302.46 : x
  2. Step 2: Convert to fraction form
    419.78/629.36 = 302.46/x
  3. Step 3: Cross multiply
    419.78x = 629.36 × 302.46
  4. Step 4: Simplify right side
    419.78x = 190,356.23
  5. Step 5: Solve for x
    x = 190,356.23/419.78
  6. Step 6: Final answer
    x = 453.47

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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.