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Finding the Fourth Proportional to 455.85, 629.18 and 259.42

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Solution

The fourth proportional to 455.85, 629.18 and 259.42 is: 358.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.85 : 629.18 = 259.42 : x
  2. Step 2: Convert to fraction form
    455.85/629.18 = 259.42/x
  3. Step 3: Cross multiply
    455.85x = 629.18 × 259.42
  4. Step 4: Simplify right side
    455.85x = 163,221.88
  5. Step 5: Solve for x
    x = 163,221.88/455.85
  6. Step 6: Final answer
    x = 358.06

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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.