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Finding the Fourth Proportional to 455.94, 629.31 and 259.56

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Solution

The fourth proportional to 455.94, 629.31 and 259.56 is: 358.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.94 : 629.31 = 259.56 : x
  2. Step 2: Convert to fraction form
    455.94/629.31 = 259.56/x
  3. Step 3: Cross multiply
    455.94x = 629.31 × 259.56
  4. Step 4: Simplify right side
    455.94x = 163,343.70
  5. Step 5: Solve for x
    x = 163,343.70/455.94
  6. Step 6: Final answer
    x = 358.26

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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.