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Finding the Fourth Proportional to 465.73, 642.77 and 308.34

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Solution

The fourth proportional to 465.73, 642.77 and 308.34 is: 425.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.73 : 642.77 = 308.34 : x
  2. Step 2: Convert to fraction form
    465.73/642.77 = 308.34/x
  3. Step 3: Cross multiply
    465.73x = 642.77 × 308.34
  4. Step 4: Simplify right side
    465.73x = 198,191.70
  5. Step 5: Solve for x
    x = 198,191.70/465.73
  6. Step 6: Final answer
    x = 425.55

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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.