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Finding the Fourth Proportional to 419.31, 629.13 and 188.13

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Solution

The fourth proportional to 419.31, 629.13 and 188.13 is: 282.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.31 : 629.13 = 188.13 : x
  2. Step 2: Convert to fraction form
    419.31/629.13 = 188.13/x
  3. Step 3: Cross multiply
    419.31x = 629.13 × 188.13
  4. Step 4: Simplify right side
    419.31x = 118,358.23
  5. Step 5: Solve for x
    x = 118,358.23/419.31
  6. Step 6: Final answer
    x = 282.27

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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.