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Finding the Fourth Proportional to 465.58, 642.70 and 308.28

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Solution

The fourth proportional to 465.58, 642.70 and 308.28 is: 425.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.58 : 642.70 = 308.28 : x
  2. Step 2: Convert to fraction form
    465.58/642.70 = 308.28/x
  3. Step 3: Cross multiply
    465.58x = 642.70 × 308.28
  4. Step 4: Simplify right side
    465.58x = 198,131.56
  5. Step 5: Solve for x
    x = 198,131.56/465.58
  6. Step 6: Final answer
    x = 425.56

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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.