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Finding the Fourth Proportional to 419.78, 629 and 265.68

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Solution

The fourth proportional to 419.78, 629 and 265.68 is: 398.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.78 : 629 = 265.68 : x
  2. Step 2: Convert to fraction form
    419.78/629 = 265.68/x
  3. Step 3: Cross multiply
    419.78x = 629 × 265.68
  4. Step 4: Simplify right side
    419.78x = 167,112.72
  5. Step 5: Solve for x
    x = 167,112.72/419.78
  6. Step 6: Final answer
    x = 398.10

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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.