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Finding the Fourth Proportional to 419.25, 628.17 and 265.35

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Solution

The fourth proportional to 419.25, 628.17 and 265.35 is: 397.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.25 : 628.17 = 265.35 : x
  2. Step 2: Convert to fraction form
    419.25/628.17 = 265.35/x
  3. Step 3: Cross multiply
    419.25x = 628.17 × 265.35
  4. Step 4: Simplify right side
    419.25x = 166,684.88
  5. Step 5: Solve for x
    x = 166,684.88/419.25
  6. Step 6: Final answer
    x = 397.58

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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.