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Finding the Fourth Proportional to 455.51, 628.25 and 343.43

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Solution

The fourth proportional to 455.51, 628.25 and 343.43 is: 473.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.51 : 628.25 = 343.43 : x
  2. Step 2: Convert to fraction form
    455.51/628.25 = 343.43/x
  3. Step 3: Cross multiply
    455.51x = 628.25 × 343.43
  4. Step 4: Simplify right side
    455.51x = 215,755.04
  5. Step 5: Solve for x
    x = 215,755.04/455.51
  6. Step 6: Final answer
    x = 473.66

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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.