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Finding the Fourth Proportional to 456.90, 629.73 and 309.48

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Solution

The fourth proportional to 456.90, 629.73 and 309.48 is: 426.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.90 : 629.73 = 309.48 : x
  2. Step 2: Convert to fraction form
    456.90/629.73 = 309.48/x
  3. Step 3: Cross multiply
    456.90x = 629.73 × 309.48
  4. Step 4: Simplify right side
    456.90x = 194,888.84
  5. Step 5: Solve for x
    x = 194,888.84/456.90
  6. Step 6: Final answer
    x = 426.55

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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.