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Finding the Fourth Proportional to 419.68, 629.52 and 268.64

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Solution

The fourth proportional to 419.68, 629.52 and 268.64 is: 402.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.68 : 629.52 = 268.64 : x
  2. Step 2: Convert to fraction form
    419.68/629.52 = 268.64/x
  3. Step 3: Cross multiply
    419.68x = 629.52 × 268.64
  4. Step 4: Simplify right side
    419.68x = 169,114.25
  5. Step 5: Solve for x
    x = 169,114.25/419.68
  6. Step 6: Final answer
    x = 402.96

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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.