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Finding the Fourth Proportional to 419.60, 629.82 and 289.31

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Solution

The fourth proportional to 419.60, 629.82 and 289.31 is: 434.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.60 : 629.82 = 289.31 : x
  2. Step 2: Convert to fraction form
    419.60/629.82 = 289.31/x
  3. Step 3: Cross multiply
    419.60x = 629.82 × 289.31
  4. Step 4: Simplify right side
    419.60x = 182,210.08
  5. Step 5: Solve for x
    x = 182,210.08/419.60
  6. Step 6: Final answer
    x = 434.24

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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.