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Finding the Fourth Proportional to 466.75, 643.67 and 309.34

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Solution

The fourth proportional to 466.75, 643.67 and 309.34 is: 426.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.75 : 643.67 = 309.34 : x
  2. Step 2: Convert to fraction form
    466.75/643.67 = 309.34/x
  3. Step 3: Cross multiply
    466.75x = 643.67 × 309.34
  4. Step 4: Simplify right side
    466.75x = 199,108.11
  5. Step 5: Solve for x
    x = 199,108.11/466.75
  6. Step 6: Final answer
    x = 426.59

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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.