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Finding the Fourth Proportional to 419.63, 629.33 and 265.32

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Solution

The fourth proportional to 419.63, 629.33 and 265.32 is: 397.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.63 : 629.33 = 265.32 : x
  2. Step 2: Convert to fraction form
    419.63/629.33 = 265.32/x
  3. Step 3: Cross multiply
    419.63x = 629.33 × 265.32
  4. Step 4: Simplify right side
    419.63x = 166,972.51
  5. Step 5: Solve for x
    x = 166,972.51/419.63
  6. Step 6: Final answer
    x = 397.91

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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.