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Finding the Fourth Proportional to 455.75, 629.12 and 290.06

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Solution

The fourth proportional to 455.75, 629.12 and 290.06 is: 400.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.75 : 629.12 = 290.06 : x
  2. Step 2: Convert to fraction form
    455.75/629.12 = 290.06/x
  3. Step 3: Cross multiply
    455.75x = 629.12 × 290.06
  4. Step 4: Simplify right side
    455.75x = 182,479.08
  5. Step 5: Solve for x
    x = 182,479.08/455.75
  6. Step 6: Final answer
    x = 400.39

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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.