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Finding the Fourth Proportional to 455.89, 629.15 and 259.44

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Solution

The fourth proportional to 455.89, 629.15 and 259.44 is: 358.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.89 : 629.15 = 259.44 : x
  2. Step 2: Convert to fraction form
    455.89/629.15 = 259.44/x
  3. Step 3: Cross multiply
    455.89x = 629.15 × 259.44
  4. Step 4: Simplify right side
    455.89x = 163,226.68
  5. Step 5: Solve for x
    x = 163,226.68/455.89
  6. Step 6: Final answer
    x = 358.04

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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.