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Finding the Fourth Proportional to 455.75, 629.01 and 290.04

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Solution

The fourth proportional to 455.75, 629.01 and 290.04 is: 400.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.75 : 629.01 = 290.04 : x
  2. Step 2: Convert to fraction form
    455.75/629.01 = 290.04/x
  3. Step 3: Cross multiply
    455.75x = 629.01 × 290.04
  4. Step 4: Simplify right side
    455.75x = 182,438.06
  5. Step 5: Solve for x
    x = 182,438.06/455.75
  6. Step 6: Final answer
    x = 400.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.