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Finding the Fourth Proportional to 455.93, 629.19 and 259.43

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Solution

The fourth proportional to 455.93, 629.19 and 259.43 is: 358.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.93 : 629.19 = 259.43 : x
  2. Step 2: Convert to fraction form
    455.93/629.19 = 259.43/x
  3. Step 3: Cross multiply
    455.93x = 629.19 × 259.43
  4. Step 4: Simplify right side
    455.93x = 163,229.46
  5. Step 5: Solve for x
    x = 163,229.46/455.93
  6. Step 6: Final answer
    x = 358.02

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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.