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Finding the Fourth Proportional to 419.99, 629.51 and 203.31

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Solution

The fourth proportional to 419.99, 629.51 and 203.31 is: 304.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.99 : 629.51 = 203.31 : x
  2. Step 2: Convert to fraction form
    419.99/629.51 = 203.31/x
  3. Step 3: Cross multiply
    419.99x = 629.51 × 203.31
  4. Step 4: Simplify right side
    419.99x = 127,984.66
  5. Step 5: Solve for x
    x = 127,984.66/419.99
  6. Step 6: Final answer
    x = 304.74

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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.