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Finding the Fourth Proportional to 465.28, 642.24 and 290.68

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Solution

The fourth proportional to 465.28, 642.24 and 290.68 is: 401.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.28 : 642.24 = 290.68 : x
  2. Step 2: Convert to fraction form
    465.28/642.24 = 290.68/x
  3. Step 3: Cross multiply
    465.28x = 642.24 × 290.68
  4. Step 4: Simplify right side
    465.28x = 186,686.32
  5. Step 5: Solve for x
    x = 186,686.32/465.28
  6. Step 6: Final answer
    x = 401.23

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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.