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Finding the Fourth Proportional to 465.78, 642.30 and 308.54

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Solution

The fourth proportional to 465.78, 642.30 and 308.54 is: 425.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.78 : 642.30 = 308.54 : x
  2. Step 2: Convert to fraction form
    465.78/642.30 = 308.54/x
  3. Step 3: Cross multiply
    465.78x = 642.30 × 308.54
  4. Step 4: Simplify right side
    465.78x = 198,175.24
  5. Step 5: Solve for x
    x = 198,175.24/465.78
  6. Step 6: Final answer
    x = 425.47

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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.