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Finding the Fourth Proportional to 465.94, 642.65 and 308.29

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Solution

The fourth proportional to 465.94, 642.65 and 308.29 is: 425.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.94 : 642.65 = 308.29 : x
  2. Step 2: Convert to fraction form
    465.94/642.65 = 308.29/x
  3. Step 3: Cross multiply
    465.94x = 642.65 × 308.29
  4. Step 4: Simplify right side
    465.94x = 198,122.57
  5. Step 5: Solve for x
    x = 198,122.57/465.94
  6. Step 6: Final answer
    x = 425.21

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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.