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Finding the Fourth Proportional to 456.31, 629.78 and 345.59

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Solution

The fourth proportional to 456.31, 629.78 and 345.59 is: 476.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.31 : 629.78 = 345.59 : x
  2. Step 2: Convert to fraction form
    456.31/629.78 = 345.59/x
  3. Step 3: Cross multiply
    456.31x = 629.78 × 345.59
  4. Step 4: Simplify right side
    456.31x = 217,645.67
  5. Step 5: Solve for x
    x = 217,645.67/456.31
  6. Step 6: Final answer
    x = 476.97

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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.