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Finding the Fourth Proportional to 419.53, 629.66 and 265.74

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Solution

The fourth proportional to 419.53, 629.66 and 265.74 is: 398.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.53 : 629.66 = 265.74 : x
  2. Step 2: Convert to fraction form
    419.53/629.66 = 265.74/x
  3. Step 3: Cross multiply
    419.53x = 629.66 × 265.74
  4. Step 4: Simplify right side
    419.53x = 167,325.85
  5. Step 5: Solve for x
    x = 167,325.85/419.53
  6. Step 6: Final answer
    x = 398.84

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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.