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Finding the Fourth Proportional to 455.97, 629.22 and 259.47

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Solution

The fourth proportional to 455.97, 629.22 and 259.47 is: 358.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.97 : 629.22 = 259.47 : x
  2. Step 2: Convert to fraction form
    455.97/629.22 = 259.47/x
  3. Step 3: Cross multiply
    455.97x = 629.22 × 259.47
  4. Step 4: Simplify right side
    455.97x = 163,263.71
  5. Step 5: Solve for x
    x = 163,263.71/455.97
  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.