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Finding the Fourth Proportional to 419.52, 629.42 and 296.13

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Solution

The fourth proportional to 419.52, 629.42 and 296.13 is: 444.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.52 : 629.42 = 296.13 : x
  2. Step 2: Convert to fraction form
    419.52/629.42 = 296.13/x
  3. Step 3: Cross multiply
    419.52x = 629.42 × 296.13
  4. Step 4: Simplify right side
    419.52x = 186,390.14
  5. Step 5: Solve for x
    x = 186,390.14/419.52
  6. Step 6: Final answer
    x = 444.29

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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.