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Finding the Fourth Proportional to 465.44, 642.31 and 290.75

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Solution

The fourth proportional to 465.44, 642.31 and 290.75 is: 401.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.44 : 642.31 = 290.75 : x
  2. Step 2: Convert to fraction form
    465.44/642.31 = 290.75/x
  3. Step 3: Cross multiply
    465.44x = 642.31 × 290.75
  4. Step 4: Simplify right side
    465.44x = 186,751.63
  5. Step 5: Solve for x
    x = 186,751.63/465.44
  6. Step 6: Final answer
    x = 401.24

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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.